diff --git a/wp-includes/block-template-utils.php b/wp-includes/block-template-utils.php
index 58ee129d2a..10ba863c62 100644
--- a/wp-includes/block-template-utils.php
+++ b/wp-includes/block-template-utils.php
@@ -362,6 +362,11 @@ function _get_block_templates_files( $template_type, $query = array() ) {
 		return null;
 	}
 
+	$default_template_types = array();
+	if ( 'wp_template' === $template_type ) {
+		$default_template_types = get_default_block_template_types();
+	}
+
 	// Prepare metadata from $query.
 	$slugs_to_include = isset( $query['slug__in'] ) ? $query['slug__in'] : array();
 	$slugs_to_skip    = isset( $query['slug__not_in'] ) ? $query['slug__not_in'] : array();
@@ -425,12 +430,19 @@ function _get_block_templates_files( $template_type, $query = array() ) {
 
 			if ( 'wp_template' === $template_type ) {
 				$candidate = _add_block_template_info( $new_template_item );
+				$is_custom = ! isset( $default_template_types[ $candidate['slug'] ] );
+
 				if (
 					! $post_type ||
 					( $post_type && isset( $candidate['postTypes'] ) && in_array( $post_type, $candidate['postTypes'], true ) )
 				) {
 					$template_files[ $template_slug ] = $candidate;
 				}
+
+				// The custom templates with no associated post types are available for all post types.
+				if ( $post_type && ! isset( $candidate['postTypes'] ) && $is_custom ) {
+					$template_files[ $template_slug ] = $candidate;
+				}
 			}
 		}
 	}
diff --git a/wp-includes/version.php b/wp-includes/version.php
index d27d3f1c36..eb7b2bf517 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -16,7 +16,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '6.6-alpha-58322';
+$wp_version = '6.6-alpha-58323';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.