diff --git a/client.h b/client.h
index 8a379d0..fe9dffc 100644
--- a/client.h
+++ b/client.h
@@ -183,6 +183,18 @@ client_get_parent(Client *c)
 	return p;
 }
 
+static inline int
+client_has_children(Client *c)
+{
+#ifdef XWAYLAND
+    if (client_is_x11(c))
+        return !wl_list_empty(&c->surface.xwayland->children);
+#endif
+    /* surface.xdg->link is never empty because it always contains at least the
+     * surface itself. */
+    return wl_list_length(&c->surface.xdg->link) > 1;
+}
+
 static inline const char *
 client_get_title(Client *c)
 {
diff --git a/dwl.c b/dwl.c
index b04b66a..95ebee8 100644
--- a/dwl.c
+++ b/dwl.c
@@ -1256,7 +1256,7 @@ focusstack(const Arg *arg)
 {
 	/* Focus the next or previous client (in tiling order) on selmon */
 	Client *c, *sel = focustop(selmon);
-	if (!sel || sel->isfullscreen)
+	if (!sel || (sel->isfullscreen && !client_has_children(sel)))
 		return;
 	if (arg->i > 0) {
 		wl_list_for_each(c, &sel->link, link) {
@@ -1496,7 +1496,8 @@ void
 mapnotify(struct wl_listener *listener, void *data)
 {
 	/* Called when the surface is mapped, or ready to display on-screen. */
-	Client *p, *w, *c = wl_container_of(listener, c, map);
+	Client *p = NULL;
+	Client *w, *c = wl_container_of(listener, c, map);
 	Monitor *m;
 	int i;
 
@@ -1553,7 +1554,7 @@ mapnotify(struct wl_listener *listener, void *data)
 unset_fullscreen:
 	m = c->mon ? c->mon : xytomon(c->geom.x, c->geom.y);
 	wl_list_for_each(w, &clients, link) {
-		if (w != c && w->isfullscreen && m == w->mon && (w->tags & c->tags))
+		if (w != c && w != p && w->isfullscreen && m == w->mon && (w->tags & c->tags))
 			setfullscreen(w, 0);
 	}
 }
@@ -2044,11 +2045,13 @@ setcursorshape(struct wl_listener *listener, void *data)
 void
 setfloating(Client *c, int floating)
 {
+	Client *p = client_get_parent(c);
 	c->isfloating = floating;
 	if (!c->mon)
 		return;
-	wlr_scene_node_reparent(&c->scene->node, layers[c->isfullscreen
-			? LyrFS : c->isfloating ? LyrFloat : LyrTile]);
+	wlr_scene_node_reparent(&c->scene->node, layers[c->isfullscreen ||
+			(p && p->isfullscreen) ? LyrFS
+			: c->isfloating ? LyrFloat : LyrTile]);
 	arrange(c->mon);
 	printstatus();
 }