AC Milan have been drawn to play Manchester United in what is the standout tie in next month's Europa League round of 16.
Lukaku, who was signed for around 80 million euros (71.2 million pounds) from Manchester United in the close season, is the club's leading goalscorer in Serie A alongside midfielder Stefano Sensi, with three goals.
Visitors Ajax had looked comfortable after former Southampton winger Tadic set up the first goal with a swerving cross before drilling home the second himself.
IMAGES from the Europa League matches played on Thursday
Klopp has led Liverpool to back-to-back Champions League finals but is adamant that their impressive recent track record does not make them the title favourites.
Portugal will look to their Euro 2020 opener with Hungary to get a head start
The three Premier League and three La Liga clubs in the last eight avoided each other, with Manchester City up against Atletico Madrid and Liverpool to face Portuguese side Benfica.
Harry Kane netted his 200th goal for Tottenham Hotspur as they won 3-1 at Ludogorets and AC Milan's 24-match unbeaten run ended
IMAGES from the Europa League matches played on Thursday
Messi scored twice and created goals for Arturo Vidal and Luis Suarez as champions Barca moved top of the table with 22 points from 10 matches.
IMAGRS from the soccer matches played across European leagues on Friday
Barcelona will meet Manchester United in the Champions League quarter-finals following the draw on Friday while Manchester City face Tottenham Hotspur in an all-Premier League clash.
Yet Milan's defensive frailty was punished when Konstantinos Fortounis scored from the penalty spot in the 81st minute to give his side the win that left them second in Group F on 10 points.
Arsenal might be struggling in the Premier League but they are 100 per cent in Group B of the Europa League
Barcelona were held 1-1 at home by Napoli in the first leg of their Europa League knockout stage playoff
Images from Thursday's action in the Europa League Europa League - Round of 16 Second Leg - matches.
AC Milan grabbed a 1-1 draw at Manchester United in the blockbuster Europa League last-16 first-leg at Old Trafford on Thursday.
A summary of Wednesday's matches in the UEFA Champions League.
Manchester City have one just victory from their last 10 games across all competitions.
Images from the Champions League matches played across Europe on Tuesday
Arsenal turned around its recent poor form to beat Leicester 3-1 on Sunday
Belgian league leaders Antwerp secured a shock 1-0 win over Tottenham Hotspur and AC Milan extended their unbeaten run to 23 games as they won 3-0 against Sparta Prague in the Europa League on Thursday, while Arsenal cruised to a 3-0 win over Dundalk.
A round of Wednesday night's Champions League group stage matches.
Troubled AC Milan were held to a goalless draw by AEK Athens
Manchester United and Tottenham Hotspur built hefty leads with emphatic away wins in their Europa League last 32 first-leg matches but AC Milan were held to a 2-2 draw at Red Star Belgrade as the competition resumed on Thursday.
Liverpool goalkeeper Simon Mignolet saved an early penalty and James Milner's shot was deflected into his own net by Havard Nordtveit for the English Premier League side's second goal in an end-to-end match.
IMAGES from Europa League matches played on Thursday.
Italy returned to winning ways as Nicolo Barella's header just before halftime secured a 1-0 victory away to a below-par Netherlands in their Nations League clash at an empty Johan Cruyff Arena on Monday.
Liverpool scored three goals in 12 dramatic first-half minutes, two of them from Emre Can, on their way to a hugely entertaining 4-2 win over Hoffenheim which took them back to the Champions League group stage after a two-season absence on Wednesday.
A summary of Thursday's matches in the Europa League.
Red Star, who won the European Cup in 1991 and reached the latter stages the following season, finished second in Group H behind Arsenal who crushed BATE Borisov 6-0.
Arsenal had scored 10 goals in two matches against BATE Borisov in the same competition in 2017 but never looked like being as prolific in the freezing temperatures of Belarus.
A round-up of Wednesday's night's UEFA Chmpions League matches.
While Lyon rallied to hold Leipzig 2-2 after a Memphis Depay strike, it was the English clubs who made a mark on the night. Liverpool and Chelsea moved into the last 16 with contrasting wins and now all four English clubs, including Manchester City and Tottenham Hotspur, are in the Champions League knockouts this season.
Rattled by embarrassing domestic defeats, Chelsea looked jittery before Olivier Giroud settled their nerves with a close range tap-in shortly after halftime at StamfordBridge following good work by N'Golo Kante and Willian in the build-up.
It was a dramatic night at the Champions League as Barcelona's Anssumane Fati -- 17 years and 40 days old - became the youngest to net a goal in the competition. Last season's semi-finalists, Ajax were eliminated by Valencia while Napoli's coach Ancelotti was shown the door despite the team's progress. Here are Images from the Champions League matches played on Tuesday
A round-up of Saturday's football action in La Liga, Bundesliga and Ligue 1.
Real Madrid's teenage Brazilian duo Vinicius Junior and Rodrygo Goes sent them top of La Liga as both scored in a 2-0 win over Osasuna on Wednesday.
A round-up of Saturday's action in La Liga, Ligue 1 and Serie A.