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Christoph Baumgartner's first-half goal sent Austria through to the last 16 of Euro 2020 on Monday after a 1-0 win over Ukraine that left their opponents facing an anxious wait to see if they qualify.
Hoffenheim midfielder Baumgartner turned in David Alaba's corner on 21 minutes in Bucharest as Austria pipped Ukraine to second place in Group C behind the Netherlands, who eased past North Macedonia 3-0 in Amsterdam.
Austria will play Italy at Wembley on June 26 after advancing from the opening round at a major tournament for the first time since the 1982 World Cup.
"I can't quite comprehend it all, my head is really hurting! This is really special for all of us," Baumgartner told Austrian broadcaster ORF.
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"The emotions right after the match were great. We wanted to write history, we did it, those are the great moments of football," said coach Franco Foda.
Ukraine, eliminated in the group stage at the past two European Championships, must wait to find out if they advance as one of the four best third-placed teams.
"I have no idea yet what to expect or what will happen," said Ukraine coach Andriy Shevchenko.
"We've have to wait until the last games. If we've the slightest chance we have to be ready."
Shevchenko had ruled out his Ukraine team playing for the draw they needed to finish as runners-up, having snapped a run of six straight losses at the competition with their 2-1 win over North Macedonia.
Marko Arnautovic was recalled to the Austria line-up after the forward missed the 2-0 defeat by the Netherlands while serving a one-match ban for insulting a North Macedonia player in their opening game.
Needing victory to be assured of a place in the next round, Austria went ahead as Baumgartner beat 18-year-old defender Illia Zabarnyi to Alaba's corner and poked beyond Georgiy Bushchan.
Ukraine came close to an equaliser when Mykola Shaparenko drew a good low save from Daniel Bachmann, the rebound just eluding a lunging Andriy Yarmolenko, who had scored in the first two group games.
Baumgartner's evening ended prematurely due to injury and his replacement Alessandro Schopf soon set up Arnautovic, the former Stoke man dribbling wide moments after Konrad Laimer's curling effort was punched away by Bushchan.
Austria nearly handed Ukraine a way back into the match when Stefan Lainer headed Viktor Tsygankov's free-kick towards his own goal, but Bachmann reacted well to preserve the victory and a spot in the knockout phase.