The two teams had numerous chances in the first 90 minutes.
The other semi-final will see an Italian side, Milan or Roma, come up against Bayer Leverkusen or West Ham.
Brighton secured their second victory of the competition with a comfortable win at Ajax thanks to goals from Ansu Fati and Simon Adingra.
Third-placed Aston Villa are the surprise package of the season and Unai Emery's side face relegation-threatened Burnley while fifth-placed Spurs host a resurgent Bournemouth who have 19 points from their last seven games.
IMAGES from the UEFA Champions League matches played on Wednesday.
The battle for Champions League qualification continues with fourth-placed Aston Villa away to Luton Town on Saturday and Tottenham Hotspur, who are five points behind with a game in hand, hosting Crystal Palace.
City were due to open their season against Aston Villa and United against Burnley but those games will be moved.
Cody Gakpo scored his first goal for the club as they halted a dismal run
Sevilla, winners of the Europa League for the past two years, will play Shakhtar Donetsk in this season's semi-final.
Liverpool's new striker Darwin Nunez scored a late goal on his debut as they drew first blood in this season's rivalry with Manchester City after a 3-1 win in Saturday's Community Shield.
Chelsea will look to make amends after being runners-up to Leicester City and Arsenal in the last two seasons
'The run of titles that we won under Sir Alex, I don't think that's going to be easy for anyone to emulate or copy'
Manchester United produced an utterly unexpected 2-1 victory over old rivals Liverpool in the Premier League at Old Trafford on Monday to turn fan protests against the club's owners into a rare night of celebration.
Champions Manchester City slipped to a shock first Premier League defeat of the season at Wolverhampton Wanderers on Saturday, while Manchester United's campaign of woe continued with a loss to Crystal Palace.
Klopp's side won the Champions League, Super Cup and Club World Cup titles last year, but the German said that their rivals will look to close the gap.
Mohamed Salah hit a hat-trick as Liverpool humiliated Manchester United, romping to a stunning 5-0 victory at Old Trafford in the Premier League on Sunday that leaves Ole Gunnar Solskjaer's future in serious doubt.
A 'winning culture' may be one of the most over used terms in modern football but Real Madrid and Carlo Ancelotti proved on Saturday, at Liverpool's expense, that there truly is meaning and value in the concept.
New Everton boss Sean Dyche's reign began with a shock 1-0 victory over English Premier League leaders Arsenal.
Champions Leicester City will begin their Premier League title defence with a trip to newly promoted Hull City on August 13, according to the 2016-17 fixtures released on Wednesday.
The loss was the joint-heaviest defeat by a side already crowned Premier League champions. Arsenal were beaten 4-0 at Liverpool in 1997-98 in the game after they clinched the title.
Tottenham manager Mauricio Pochettino is readying his squad for a final tilt at the Premier League title, aware that he can ask his players to remain focused on one game at a time when a bulk of them return from the international break.
The pain of missing out on a first domestic league crown for 29 years will be eased by the knowledge that European glory could be on the horizon for Liverpool
Sadio Mane struck four minutes into stoppage time to give Liverpool a last-gasp 1-0 win over derby rivals Everton that lifted them into second place in the English Premier League.
Images from Sunday's action in the Premier League.
News of all that's transpired on and off the football field.
Ronaldo back for Man Utd but injured Shaw faces weeks out
Jordan Henderson has spent much ofhis Liverpool career being compared unfavourably with Steven Gerrard, but his stunning goal against Chelsea on Friday could have come straight from the copybook of the former Anfield hero. After Dejan Lovren had put Liverpool ahead, Hendersontook aim from 30 metres, curling home a superb effort that ended a goal drought stretching back more than eight months. It put Liverpool two ahead on their way to a 2-1 victory that ended the hosts' unbeaten start to the season and underlined the growing potential of Juergen Klopp's Liverpool side.
'A new caretaker manager will be appointed until the end of the current season, while the club conducts a thorough recruitment process for a new, full-time manager'
Arsenal will begin their quest to become the first team in modern times to win the FA Cup three years running with a home tie against fellow Premier League side Sunderland in January.
Inter, Liverpool sweating on last-16 spots
Manchester United moved three points clear at the top of the Premier League after a Paul Pogba goal gave them a hard-fought 1-0 win over Burnley at a freezing Turf Moor on Tuesday.
The next man in charge faces an unenviable task trying to sort out the existing mess and then living up to goals that seem ever more distant.
United beat Leicester City at Old Trafford in the opening game of the season but Spurs present a very different quality of opponent.
Images from Saturday's action in the Premier League.
Premier League heavyweights Liverpool and Manchester United were caught by late sucker punches in two games that finished far more dramatically than they began on Sunday.
The win moved Spurs up to third but unbeaten Manchester City still looked in a class of their own at the top as Leroy Sane scored twice in a 4-0 stroll over West Ham United.
Liverpool came into Saturday's Champions League final against Real Madrid on a wave of confidence but Zinedine Zidane's side showed exactly why they are the masters of Europe's top club competition in their 3-1 win.
Tottenham Hotspur brutally exposed Liverpool's defensive frailties as Harry Kane plundered two more goals in his side's 4-1 romp at Wembley on Sunday.
Arsenal manager Arsene Wenger announced on Friday that he will step down from his role at the Premier League club at the end of the season after almost 22 years at the helm.
Liverpool had won each of their previous four home leagues games in which they conceded first and 12 minutes later they had turned another match on its head as Roberto Firmino's trickery set up Mane to give the hosts the lead at the second attempt.