AC Milan will face CSU Craiova while Everton will take on either Ruzomberok or Brann in their Europa League third qualifying round ties.
Seven-time European champions Milan, playing the Europa League for the first time, return to continental competition for the first time since the 2013-14 season and will be hopeful of progress against Romanian side Craiova after a positive summer in the transfer market.
Everton, meanwhile, finished seventh last season in the Premier League and were England's top seeds in Friday's draw in Nyon, with Manchester United having secured a place in the Champions League after winning the Europa League final against Ajax last season.