diff --git a/src/Parser/NewAssignedToPropertyVisitor.php b/src/Parser/NewAssignedToPropertyVisitor.php
index 05df87b423..209e72730d 100644
--- a/src/Parser/NewAssignedToPropertyVisitor.php
+++ b/src/Parser/NewAssignedToPropertyVisitor.php
@@ -13,7 +13,10 @@ final class NewAssignedToPropertyVisitor extends NodeVisitorAbstract
 	public function enterNode(Node $node): ?Node
 	{
 		if ($node instanceof Node\Expr\Assign || $node instanceof Node\Expr\AssignRef) {
-			if ($node->var instanceof Node\Expr\PropertyFetch && $node->expr instanceof Node\Expr\New_) {
+			if (
+				($node->var instanceof Node\Expr\PropertyFetch || $node->var instanceof Node\Expr\StaticPropertyFetch)
+				&& $node->expr instanceof Node\Expr\New_
+			) {
 				$node->expr->setAttribute(self::ATTRIBUTE_NAME, $node->var);
 			}
 		}
diff --git a/tests/PHPStan/Rules/Properties/TypesAssignedToPropertiesRuleTest.php b/tests/PHPStan/Rules/Properties/TypesAssignedToPropertiesRuleTest.php
index 09f34d1d40..19b6d3b262 100644
--- a/tests/PHPStan/Rules/Properties/TypesAssignedToPropertiesRuleTest.php
+++ b/tests/PHPStan/Rules/Properties/TypesAssignedToPropertiesRuleTest.php
@@ -208,6 +208,29 @@ public function testBug3777(): void
 				168,
 			],
 		]);
+
+		$this->analyse([__DIR__ . '/data/bug-3777-static.php'], [
+			[
+				'Static property Bug3777Static\Bar::$foo (Bug3777Static\Foo<stdClass>) does not accept Bug3777Static\Fooo<object>.',
+				58,
+			],
+			[
+				'Static property Bug3777Static\Ipsum::$ipsum (Bug3777Static\Lorem<stdClass, Exception>) does not accept Bug3777Static\Lorem<Exception, stdClass>.',
+				95,
+			],
+			[
+				'Static property Bug3777Static\Ipsum2::$lorem2 (Bug3777Static\Lorem2<stdClass, Exception>) does not accept Bug3777Static\Lorem2<stdClass, object>.',
+				129,
+			],
+			[
+				'Static property Bug3777Static\Ipsum2::$ipsum2 (Bug3777Static\Lorem2<stdClass, Exception>) does not accept Bug3777Static\Lorem2<Exception, object>.',
+				131,
+			],
+			[
+				'Static property Bug3777Static\Ipsum3::$ipsum3 (Bug3777Static\Lorem3<stdClass, Exception>) does not accept Bug3777Static\Lorem3<Exception, stdClass>.',
+				168,
+			],
+		]);
 	}
 
 	public function testAppendendArrayKey(): void
@@ -614,6 +637,11 @@ public function testGenericsInCallableInConstructor(): void
 		$this->analyse([__DIR__ . '/data/generics-in-callable-in-constructor.php'], []);
 	}
 
+	public function testBug10686(): void
+	{
+		$this->analyse([__DIR__ . '/data/bug-10686.php'], []);
+	}
+
 	public function testBug11275(): void
 	{
 		if (PHP_VERSION_ID < 80000) {
diff --git a/tests/PHPStan/Rules/Properties/data/bug-10686.php b/tests/PHPStan/Rules/Properties/data/bug-10686.php
new file mode 100644
index 0000000000..0d6922d5da
--- /dev/null
+++ b/tests/PHPStan/Rules/Properties/data/bug-10686.php
@@ -0,0 +1,33 @@
+<?php // lint >= 7.4
+
+namespace Bug10686;
+
+class Model {}
+
+/**
+ * @template T of object|array<mixed>
+ */
+class WeakAnalysingMap
+{
+	/** @var list<T> */
+	public array $values = [];
+}
+
+class Reference
+{
+	/** @var WeakAnalysingMap<Model> */
+	private static WeakAnalysingMap $analysingTheirModelMap;
+
+	public function createAnalysingTheirModel(): Model
+	{
+		if ((self::$analysingTheirModelMap ?? null) === null) {
+			self::$analysingTheirModelMap = new WeakAnalysingMap();
+		}
+
+		$theirModel = new Model();
+
+		self::$analysingTheirModelMap->values[] = $theirModel;
+
+		return end(self::$analysingTheirModelMap->values);
+	}
+}
diff --git a/tests/PHPStan/Rules/Properties/data/bug-3777-static.php b/tests/PHPStan/Rules/Properties/data/bug-3777-static.php
new file mode 100644
index 0000000000..0cc9c7b930
--- /dev/null
+++ b/tests/PHPStan/Rules/Properties/data/bug-3777-static.php
@@ -0,0 +1,172 @@
+<?php
+
+namespace Bug3777Static;
+
+use function PHPStan\Testing\assertType;
+
+class HelloWorld
+{
+	/**
+	 * @var \SplObjectStorage<\DateTimeImmutable, null>
+	 */
+	public static $dates;
+
+	public function __construct()
+	{
+		static::$dates = new \SplObjectStorage();
+		assertType('SplObjectStorage<DateTimeImmutable, null>', static::$dates);
+	}
+}
+
+/** @template T of object */
+class Foo
+{
+
+	public function __construct()
+	{
+
+	}
+
+}
+
+/** @template T of object */
+class Fooo
+{
+
+}
+
+class Bar
+{
+
+	/** @var Foo<\stdClass> */
+	private static $foo;
+
+	/** @var Fooo<\stdClass> */
+	private static $fooo;
+
+	public function __construct()
+	{
+		static::$foo = new Foo();
+		assertType('Bug3777Static\Foo<stdClass>', static::$foo);
+
+		static::$fooo = new Fooo();
+		assertType('Bug3777Static\Fooo<stdClass>', static::$fooo);
+	}
+
+	public function doBar()
+	{
+		static::$foo = new Fooo();
+		assertType('Bug3777Static\Fooo<object>', static::$foo);
+	}
+
+}
+
+/**
+ * @template T of object
+ * @template U of object
+ */
+class Lorem
+{
+
+	/**
+	 * @param T $t
+	 * @param U $u
+	 */
+	public function __construct($t, $u)
+	{
+
+	}
+
+}
+
+class Ipsum
+{
+
+	/** @var Lorem<\stdClass, \Exception> */
+	private static $lorem;
+
+	/** @var Lorem<\stdClass, \Exception> */
+	private static $ipsum;
+
+	public function __construct()
+	{
+		static::$lorem = new Lorem(new \stdClass, new \Exception());
+		assertType('Bug3777Static\Lorem<stdClass, Exception>', static::$lorem);
+		static::$ipsum = new Lorem(new \Exception(), new \stdClass);
+		assertType('Bug3777Static\Lorem<Exception, stdClass>', static::$ipsum);
+	}
+
+}
+
+/**
+ * @template T of object
+ * @template U of object
+ */
+class Lorem2
+{
+
+	/**
+	 * @param T $t
+	 */
+	public function __construct($t)
+	{
+
+	}
+
+}
+
+class Ipsum2
+{
+
+	/** @var Lorem2<\stdClass, \Exception> */
+	private static $lorem2;
+
+	/** @var Lorem2<\stdClass, \Exception> */
+	private static $ipsum2;
+
+	public function __construct()
+	{
+		static::$lorem2 = new Lorem2(new \stdClass);
+		assertType('Bug3777Static\Lorem2<stdClass, object>', static::$lorem2);
+		static::$ipsum2 = new Lorem2(new \Exception());
+		assertType('Bug3777Static\Lorem2<Exception, object>', static::$ipsum2);
+	}
+
+}
+
+/**
+ * @template T of object
+ * @template U of object
+ */
+class Lorem3
+{
+
+	/**
+	 * @param T $t
+	 * @param U $u
+	 */
+	public function __construct($t, $u)
+	{
+
+	}
+
+}
+
+class Ipsum3
+{
+
+	/** @var Lorem3<\stdClass, \Exception> */
+	private static $lorem3;
+
+	/** @var Lorem3<\stdClass, \Exception> */
+	private static $ipsum3;
+
+	public function __construct()
+	{
+		static::$lorem3 = new Lorem3(new \stdClass, new \Exception());
+		assertType('Bug3777Static\Lorem3<stdClass, Exception>', static::$lorem3);
+		static::$ipsum3 = new Lorem3(new \Exception(), new \stdClass());
+		assertType('Bug3777Static\Lorem3<Exception, stdClass>', static::$ipsum3);
+	}
+
+}