Wirtz had already played a key role in the first-half opener as Germany beat Serbia 2-0 in the UEFA Nations League.
The Liverpool No.7’s feint inside the box was followed by a shot that struck the left post, with the rebound converted by Tom Bischof.
He was not to be denied just past the hour mark, though.
Deftly controlling a pass into the area with his heel, Wirtz deceived the goalkeeper and coolly slotted his finish into the bottom right corner.
Elsewhere in the Nations League, Reds teammates were in opposition as Greece hosted the Netherlands.
Kostas Tsimikas featured for the home side, who established a 2-0 advantage at half-time in Thessaloniki.
Van Dijk found the net in the 59th minute with a clinical header from a corner kick into the area.