Liverpool have been paired with Hearts in an all-British Europa League play-off clash, while Newcastle will take on Greek side Atromitos for a spot in the group stages.
The Reds, who are 28/1 to win the Premier League with bet365, overcame FC Gomel 4-0 on aggregate to book their place in the next round and their reward is a tie with SPL outfit Hearts.
Brendan Rodgers will take his team to Edinburgh for the first leg on August 23.
Meanwhile, Newcastle will travel to Greece for the first leg of their game, with the return match at the Sports Direct Arena on August 30.
The other British side in action in the play-off round of the Europa League will be Motherwell, who take on Spanish outfit Levante.
In the Champions League, Celtic will fancy their chances of reaching the group stages for the first time since 2008 after being drawn against Helsingborg.
The Bhoys booked their place in the last qualifying round with a comfortable 4-1 aggregate win over HJK Helsinki and will head to Scandinavia for the first leg of their tie on either August 21 or 22.