Baena, the world number 101, battled to a 7-5, 6-7, 6-3, 3-6, 8-6 victory to reach the third round of a Grand Slam for the first time in his career.
The game had already seen more than its fair share of drama after Solly March had headed Brighton level in the 95th minute, when it had looked as if a Lewis Dunk own goal and a cool finish from Marcus Rashford would give Ole Gunnar Solskjaer's men three points after Neal Maupay had put the home side in front from the penalty spot.
The win saw PSG move up to the seventh place on the standings, only four points behind leader Rennes, while Reims still sits second from bottom after suffering four defeats in a row.
"We are exhausted," the 32-year-old Pole said after the Bavarian lost 4-1 in Hoffenheim.
The two companies reached an agreement recently and officially signed the share sale and purchase agreement.
BERLIN, Sept. 27 (Xinhua) -- Hoffenheim ended Bayern Munich's run of 32 unbeaten games after Andrej Kramaric was on target twice in a 4-1 win to ensure a perfect start to the season in the final match of the Bundesliga second round on Sunday.
JERUSALEM, Sept. 27 (Xinhua) -- Israeli basketball champions Maccabi Tel Aviv have signed Dragan Bender from the Golden State Warriors, the Israeli club announced on Sunday.
There was drama in the last minute of injury time when Robin le Normand had the ball in the Valencia net only for the VAR to rule it out for handball.
Seventh seed Petra Kvitova of the Czech Republic is also through after she overcame Jasmine Paolini of Italy 6-3, 6-3.
Hoffenheim then grabbed the lead out of the blue with 16 minutes gone when Ermin Bicakcic headed home Dennis Geiger's corner kick to stun Hansi Flick's men.
The solution gives the financially troubled Schalke the chance to renew its coaching staff with a considerable investment. To attract the big coaching names seems a thing of the past.