Ruben Micael scored two goals and made another against Austria Vienna to lead Nacional to their first victory in the Europa League group stage.
Brazilian Schumacher gave Austria the lead after 21 minutes, but Ruben Micael equalised in the 23rd minute before Mateus made it 2-1 to Nacional in the 33rd minute.
Micael stretched the lead to 3-1 in the 57th minute and Zarko Tomasevic ended all doubts with his goal in the 61st minute. Felipe Lopes joined in with the scoring in the 66th minute.
The Portuguese side's win took them to five points and means they finish third in Group L with five points.
Austria remained without a win in the group, finishing bottom with two points.
Nacional had the first two chances of the game but Leandro Salino's shot went wide left after three minutes and Mateus' cross seven minutes later was beaten away.
The visitors grabbed the lead in the 21st minute as Milenko Acimovic was given plenty of space to cross from the left wing into the box, where Schumacher stretched out to volley home from three yards.
Nacional equalised just two minutes later after a mistake in the Austria defence, which allowed Mateus to cross into the box where Edgar let the ball go through to Micael who struck home from five yards.
Mateus gave the hosts the lead 12 minutes before the break, streaking past two defenders and then poking the ball past goalkeeper Robert Almer from 10 yards.
Nacional continued their push forward and nearly made it 3-1 after 41 minutes, but Nejc Pecnik's header was deflected by Almer against the crossbar.
The hosts doubled the lead to 3-1 after 57 minutes with Micael scoring his second, running onto a long through-ball and slotting a shot past Almer from 13 yards.
The game was over for good when Tomasevic headed home a free-kick from 12 yards.
Felipe Lopes then sent a header from 12 yards into the top right corner to make it 5-1 for the hosts with almost 25 minutes to play.
Nacional went closer to making it 6-1 than Austria to pulling back a goal but neither side could find the net in the closing stages.