Lyon sealed top spot in the Europa League standings while Roma survived a red-card scare to reach the last 16 on a chaotic final league-phase night.
AS Roma took a big step towards qualifying for the Europa League last 16 with a 2-0 win over VfB Stuttgart on Thursday.
Aston Villa secured a 2-1 victory at Basel on Thursday, with goals from Evann Guessand and Youri Tielemans keeping their Europa League campaign on a strong footing.
Nottingham Forest, who finished seventh in the Premier League last season, will replace Palace in the Europa League.
Nottingham Forest handed manager Sean Dyche the perfect debut with a 2-0 home win over Porto in the Europa League on Thursday, with both goals coming from the penalty spot.
Lyon thump Maccabi Tel Aviv to go top, Forest keep on winning
In Lille, substitute Olivier Giroud turned the game on its head in the 80th minute.
Images from the Europa League semi-finals second leg between Manchester United and Athletic Bilbao, Tottenham Hotspur and Bodo/Glimt, on Thursday.
Ange Postecoglou ultimately paid the price for an horrendous English Premier League season which saw Tottenham finish 17th.
Nine Real Sociedad fans injured in clashes with Lazio ultras
Brennan Johnson's bundled first-half goal helped Tottenham Hotspur win a scrappy Europa League final 1-0 against Manchester United on Wednesday.
The other semi-final will see an Italian side, Milan or Roma, come up against Bayer Leverkusen or West Ham.
The win leaves United in 15th place in the Europa League standings on six points from four games.
Liverpool will take on LASK, Union Saint-Gilloise and Toulouse in the Europa League group stage while debutants Brighton & Hove Albion will face Ajax Amsterdam and Olympique de Marseille following the draw on Friday.
Summary of the Europa League semi-final matches played on Thursday.
Forward Rasmus Hojlund scored twice to allow Manchester United to come back from a goal down and get a 2-1 win at six-times Czech champions Viktoria Plzen in the Europa League on Thursday.
Atalanta beat Bayer Leverkusen 3-0 in the Europa League final
Sevilla maintained their incredible record in the competition after an otherwise difficult season.
Rennes denied late Europa League equaliser due to little-known rule
In an early match, Norwegian side Bodo/Glimt secured a 3-2 home victory against FC Porto thanks to a brace from Jens Petter Hauge, despite going down to 10 men in the 51st minute.
Jose Mourinho's side top Group G with a maximum nine points, three clear of second-placed Slavia.
The first legs of the ties will take place on February 16, with the return match a week later on February 23.
Arsenal sailed through the Europa League group stages, winning five of their six group matches and take on Sporting next, who overcame Denmark's FC Midtjylland in their playoff.
Europe's top club coaches gave their support on Thursday to the much-maligned Europa League.
IMAGES from the Europa League matches played on Thursday
Action from Europa League matches played on Thursday.
However, there was a softening in tone over eventual cases where league seasons may be cancelled -- an outcome UEFA had been quick to oppose.
The teams finished level at 3-3 on aggregate in the tie but the Lisbon club advanced to the quarter-finals after Adan kept out Martinelli's weak effort.
Brighton secured their second victory of the competition with a comfortable win at Ajax thanks to goals from Ansu Fati and Simon Adingra.
Manchester United loosened Arsenal's grip on the Premier League title race with a 3-2 win in north London on Sunday.
Sevilla will bid for a record-extending seventh Europa League title when they face AS Roma in the final in Budapest on May 31, after Jose Mourinho's side drew 0-0 at Bayer Leverkusen to secure a 1-0 aggregate victory in their semi-final.
IMAGES from the Europa League semifinal matches played on Thursday.
PSV fan assaulted Sevilla goalkeeper Marko Dmitrovic, punching him in the face before being wrestled to the ground by the Serbian.
UEFA bowed to the inevitable on Wednesday and suspended all Champions League and Europa League matches 'until further notice' due to the coronavirus pandemic.
IMAGES from the Europa League matches played on Thursday.
Arsenal can sustain a Europa League challenge but a top-four finish in the Premier League would be the best way to reach next season's Champions League, manager Arsene Wenger has said.
The draw also produced a clash between two former European champions with AC Milan facing Serbia's Red Star Belgrade while French league leaders Lille face Ajax Amsterdam in a fascinating tie.
Manchester United, winners of the competition in 2017, will have a lot of travelling to do to Eastern Europe after being drawn alongside Kazakhstan side Astana, Serbia's Partizan Belgrade and Dutch side AZ Alkmaar.
IMAGES from the Europa League matches played on Thursday.
Manchester United breezed into the next round with a 6-1 aggregate win over Club Brugge