diff --git a/src/Psalm/Internal/Analyzer/Statements/Expression/Call/ArgumentsAnalyzer.php b/src/Psalm/Internal/Analyzer/Statements/Expression/Call/ArgumentsAnalyzer.php
index b093db507..29caef5b1 100644
--- a/src/Psalm/Internal/Analyzer/Statements/Expression/Call/ArgumentsAnalyzer.php
+++ b/src/Psalm/Internal/Analyzer/Statements/Expression/Call/ArgumentsAnalyzer.php
@@ -570,7 +570,8 @@ class ArgumentsAnalyzer
                 $class_storage,
                 $self_fq_class_name,
                 $calling_class_storage,
-                $function_storage->template_types ?: []
+                $function_storage->template_types ?: [],
+                $class_generic_params
             );
 
             if ($template_types) {
diff --git a/src/Psalm/Internal/Analyzer/Statements/Expression/CallAnalyzer.php b/src/Psalm/Internal/Analyzer/Statements/Expression/CallAnalyzer.php
index b4476e5f7..0b030aa97 100644
--- a/src/Psalm/Internal/Analyzer/Statements/Expression/CallAnalyzer.php
+++ b/src/Psalm/Internal/Analyzer/Statements/Expression/CallAnalyzer.php
@@ -341,15 +341,20 @@ class CallAnalyzer
     }
 
     /**
+     * This gets all the template params (and their types) that we think
+     * we'll need to know about
+     *
      * @return array<string, array<string, Type\Union>>
      * @param array<string, non-empty-array<string, Type\Union>> $existing_template_types
+     * @param array<string, array<string, Type\Union>> $class_template_params
      */
     public static function getTemplateTypesForCall(
         \Psalm\Codebase $codebase,
         ?ClassLikeStorage $declaring_class_storage,
         ?string $appearing_class_name,
         ?ClassLikeStorage $calling_class_storage,
-        array $existing_template_types = []
+        array $existing_template_types = [],
+        array $class_template_params = []
     ) : array {
         $template_types = $existing_template_types;
 
@@ -369,7 +374,7 @@ class CallAnalyzer
                                         $atomic_type->defining_class,
                                         $atomic_type->param_name,
                                         $calling_class_storage->template_extended_params,
-                                        $template_types
+                                        $class_template_params + $template_types
                                     );
                                 } else {
                                     $output_type_candidate = new Type\Union([$atomic_type]);
@@ -392,7 +397,8 @@ class CallAnalyzer
             } elseif ($declaring_class_storage->template_types) {
                 foreach ($declaring_class_storage->template_types as $template_name => $type_map) {
                     foreach ($type_map as $key => $type) {
-                        $template_types[$template_name][$key] = $type;
+                        $template_types[$template_name][$key]
+                            = $class_template_params[$template_name][$key] ?? $type;
                     }
                 }
             }
diff --git a/tests/Template/ClassTemplateTest.php b/tests/Template/ClassTemplateTest.php
index 492c917ad..74e7d51a1 100644
--- a/tests/Template/ClassTemplateTest.php
+++ b/tests/Template/ClassTemplateTest.php
@@ -3770,6 +3770,37 @@ class ClassTemplateTest extends TestCase
                     }',
                 'error_message' => 'InvalidArgument',
             ],
+            'bindRedirectedTemplate' => [
+                '<?php
+                    /**
+                     * @template TIn
+                     * @template TOut
+                     */
+                    final class Map
+                    {
+                        /** @param Closure(TIn): TOut $c */
+                        public function __construct(private Closure $c) {}
+
+                        /**
+                         * @template TIn2 as list<TIn>
+                         * @param TIn2 $in
+                         * @return list<TOut>
+                         */
+                        public function __invoke(array $in) : array {
+                            return array_map(
+                                $this->c,
+                                $in
+                            );
+                        }
+                    }
+
+                    $m = new Map(fn(int $num) => (string) $num);
+                    $m(["a"]);',
+                'error_message' => 'InvalidScalarArgument',
+                [],
+                false,
+                '8.0'
+            ],
         ];
     }
 }