diff --git a/config.xsd b/config.xsd
index 99e0fde33..4d4f377f8 100644
--- a/config.xsd
+++ b/config.xsd
@@ -482,6 +482,7 @@
             <xs:element name="UnresolvableInclude" type="IssueHandlerType" minOccurs="0" />
             <xs:element name="UnsafeGenericInstantiation" type="IssueHandlerType" minOccurs="0" />
             <xs:element name="UnsafeInstantiation" type="IssueHandlerType" minOccurs="0" />
+            <xs:element name="UnsupportedPropertyReferenceUsage" type="IssueHandlerType" minOccurs="0" />
             <xs:element name="UnsupportedReferenceUsage" type="IssueHandlerType" minOccurs="0" />
             <xs:element name="UnusedBaselineEntry" type="IssueHandlerType" minOccurs="0" />
             <xs:element name="UnusedClass" type="ClassIssueHandlerType" minOccurs="0" />
diff --git a/docs/running_psalm/issues.md b/docs/running_psalm/issues.md
index d0e745b38..d9b3b4f16 100644
--- a/docs/running_psalm/issues.md
+++ b/docs/running_psalm/issues.md
@@ -285,6 +285,7 @@
  - [UnresolvableInclude](issues/UnresolvableInclude.md)
  - [UnsafeGenericInstantiation](issues/UnsafeGenericInstantiation.md)
  - [UnsafeInstantiation](issues/UnsafeInstantiation.md)
+ - [UnsupportedPropertyReferenceUsage](issues/UnsupportedPropertyReferenceUsage.md)
  - [UnsupportedReferenceUsage](issues/UnsupportedReferenceUsage.md)
  - [UnusedBaselineEntry](issues/UnusedBaselineEntry.md)
  - [UnusedClass](issues/UnusedClass.md)
diff --git a/docs/running_psalm/issues/UnsupportedPropertyReferenceUsage.md b/docs/running_psalm/issues/UnsupportedPropertyReferenceUsage.md
new file mode 100644
index 000000000..60da066d5
--- /dev/null
+++ b/docs/running_psalm/issues/UnsupportedPropertyReferenceUsage.md
@@ -0,0 +1,40 @@
+# UnsupportedPropertyReferenceUsage
+
+Psalm cannot guarantee the soundness of code that uses references to properties.
+
+### Examples of Uncaught Errors
+
+* Instance property assigned wrong type:
+```php
+<?php
+class A {
+    public int $b = 0;
+}
+$a = new A();
+$b = &$a->b;
+$b = ''; // Fatal error
+```
+
+* Static property assigned wrong type:
+```php
+<?php
+class A {
+    public static int $b = 0;
+}
+$b = &A::$b;
+$b = ''; // Fatal error
+```
+
+* Readonly property reassigned:
+```php
+<?php
+class A {
+    public function __construct(
+        public readonly int $b,
+    ) {
+    }
+}
+$a = new A(0);
+$b = &$a->b;
+$b = 1; // Fatal error
+```
diff --git a/psalm-baseline.xml b/psalm-baseline.xml
index 70c788cbd..69c518581 100644
--- a/psalm-baseline.xml
+++ b/psalm-baseline.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8"?>
-<files psalm-version="dev-master@88f6be1213950f29d6516eb422cf021b10bae455">
+<files psalm-version="dev-master@841cccd693a15da70c034a55eb05ee7ed8fdbc22">
   <file src="examples/TemplateChecker.php">
     <PossiblyUndefinedIntArrayOffset>
       <code><![CDATA[$comment_block->tags['variablesfrom'][0]]]></code>
@@ -114,6 +114,11 @@
       <code>$new_property_name</code>
     </PossiblyUndefinedIntArrayOffset>
   </file>
+  <file src="src/Psalm/Internal/Analyzer/Statements/Expression/AssignmentAnalyzer.php">
+    <UnsupportedPropertyReferenceUsage>
+      <code><![CDATA[$context->vars_in_scope[$lhs_var_id] = &$context->vars_in_scope[$rhs_var_id]]]></code>
+    </UnsupportedPropertyReferenceUsage>
+  </file>
   <file src="src/Psalm/Internal/Analyzer/Statements/Expression/BinaryOp/ArithmeticOpAnalyzer.php">
     <PossiblyUndefinedIntArrayOffset>
       <code>$invalid_left_messages[0]</code>
diff --git a/src/Psalm/Internal/Analyzer/Statements/Expression/AssignmentAnalyzer.php b/src/Psalm/Internal/Analyzer/Statements/Expression/AssignmentAnalyzer.php
index 6f0053468..509acb41a 100644
--- a/src/Psalm/Internal/Analyzer/Statements/Expression/AssignmentAnalyzer.php
+++ b/src/Psalm/Internal/Analyzer/Statements/Expression/AssignmentAnalyzer.php
@@ -56,6 +56,7 @@ use Psalm\Issue\PossiblyUndefinedIntArrayOffset;
 use Psalm\Issue\ReferenceConstraintViolation;
 use Psalm\Issue\ReferenceReusedFromConfusingScope;
 use Psalm\Issue\UnnecessaryVarAnnotation;
+use Psalm\Issue\UnsupportedPropertyReferenceUsage;
 use Psalm\IssueBuffer;
 use Psalm\Node\Expr\BinaryOp\VirtualBitwiseAnd;
 use Psalm\Node\Expr\BinaryOp\VirtualBitwiseOr;
@@ -980,10 +981,18 @@ class AssignmentAnalyzer
             $context->references_to_external_scope[$lhs_var_id] = true;
         }
         if (strpos($rhs_var_id, '->') !== false) {
+            IssueBuffer::maybeAdd(new UnsupportedPropertyReferenceUsage(
+                new CodeLocation($statements_analyzer->getSource(), $stmt),
+            ));
             // Reference to object property, we always consider object properties to be an external scope for references
             // TODO handle differently so it's detected as unused if the object is unused?
             $context->references_to_external_scope[$lhs_var_id] = true;
         }
+        if (strpos($rhs_var_id, '::') !== false) {
+            IssueBuffer::maybeAdd(new UnsupportedPropertyReferenceUsage(
+                new CodeLocation($statements_analyzer->getSource(), $stmt),
+            ));
+        }
 
         $lhs_location = new CodeLocation($statements_analyzer->getSource(), $stmt->var);
         if (!$stmt->var instanceof ArrayDimFetch && !$stmt->var instanceof PropertyFetch) {
diff --git a/src/Psalm/Issue/UnsupportedPropertyReferenceUsage.php b/src/Psalm/Issue/UnsupportedPropertyReferenceUsage.php
new file mode 100644
index 000000000..a0b0e9d80
--- /dev/null
+++ b/src/Psalm/Issue/UnsupportedPropertyReferenceUsage.php
@@ -0,0 +1,21 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Psalm\Issue;
+
+use Psalm\CodeLocation;
+
+final class UnsupportedPropertyReferenceUsage extends CodeIssue
+{
+    public const ERROR_LEVEL = -1;
+    public const SHORTCODE = 321;
+
+    public function __construct(CodeLocation $code_location)
+    {
+        parent::__construct(
+            'This reference cannot be analyzed by Psalm.',
+            $code_location,
+        );
+    }
+}
diff --git a/tests/AssertAnnotationTest.php b/tests/AssertAnnotationTest.php
index de1e2b8c6..951044bc6 100644
--- a/tests/AssertAnnotationTest.php
+++ b/tests/AssertAnnotationTest.php
@@ -2598,6 +2598,7 @@ class AssertAnnotationTest extends TestCase
                     function requiresString(string $_str): void {}
                 ',
                 'error_message' => 'NullArgument',
+                'ignored_issues' => ['UnsupportedPropertyReferenceUsage'],
             ],
             'assertionOnMagicPropertyWithoutMutationFreeGet' => [
                 'code' => '<?php
diff --git a/tests/ReferenceTest.php b/tests/ReferenceTest.php
index b50f79fee..81e639572 100644
--- a/tests/ReferenceTest.php
+++ b/tests/ReferenceTest.php
@@ -209,6 +209,7 @@ class ReferenceTest extends TestCase
                 'assertions' => [
                     '$bar===' => "'bar'",
                 ],
+                'ignored_issues' => ['UnsupportedPropertyReferenceUsage'],
             ],
             'referenceReassignedInLoop' => [
                 'code' => '<?php
diff --git a/tests/UnsupportedPropertyReferenceUsage.php b/tests/UnsupportedPropertyReferenceUsage.php
new file mode 100644
index 000000000..e89939c51
--- /dev/null
+++ b/tests/UnsupportedPropertyReferenceUsage.php
@@ -0,0 +1,58 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Psalm\Tests;
+
+use Psalm\Tests\Traits\InvalidCodeAnalysisTestTrait;
+
+class UnsupportedPropertyReferenceUsage extends TestCase
+{
+    use InvalidCodeAnalysisTestTrait;
+
+    public function providerInvalidCodeParse(): iterable
+    {
+        return [
+            'instance property' => [
+                'code' => <<<'PHP'
+                    <?php
+                    class A {
+                        public int $b = 0;
+                    }
+                    $a = new A();
+                    $b = &$a->b;
+                    $b = ''; // Fatal error
+                    PHP,
+                'error_message' => 'UnsupportedPropertyReferenceUsage',
+            ],
+            'static property' => [
+                'code' => <<<'PHP'
+                    <?php
+                    class A {
+                        public static int $b = 0;
+                    }
+                    $b = &A::$b;
+                    $b = ''; // Fatal error
+                    PHP,
+                'error_message' => 'UnsupportedPropertyReferenceUsage',
+            ],
+            'readonly property' => [
+                'code' => <<<'PHP'
+                    <?php
+                    class A {
+                        public function __construct(
+                            public readonly int $b,
+                        ) {
+                        }
+                    }
+                    $a = new A(0);
+                    $b = &$a->b;
+                    $b = 1; // Fatal error
+                    PHP,
+                'error_message' => 'UnsupportedPropertyReferenceUsage',
+                'error_levels' => [],
+                'php_version' => '8.1',
+            ],
+        ];
+    }
+}
diff --git a/tests/UnusedVariableTest.php b/tests/UnusedVariableTest.php
index 028dfc6b2..57f1a425d 100644
--- a/tests/UnusedVariableTest.php
+++ b/tests/UnusedVariableTest.php
@@ -1325,6 +1325,8 @@ class UnusedVariableTest extends TestCase
                             $update = $value;
                         }
                     }',
+                'assertions' => [],
+                'ignored_issues' => ['UnsupportedPropertyReferenceUsage'],
             ],
             'createdAndUsedInCondition' => [
                 'code' => '<?php