Liverpool will face another side knocked out of the Champions League after being drawn against Unirea Urziceni in the last 32 of the Europa League.
Rafael Benitez's side finished third in Group E while Unirea were third in Group G, despite recording a famous 4-1 victory over Rangers at Ibrox.
The Romanian champions also beat Sevilla 1-0 at home and are managed by former Chelsea defender Dan Petrescu.
Fulham will take on Ukrainian side Shakhtar Donetsk, the last team to win the UEFA Cup after beating Werder Bremen in the final earlier this year.
Everton will face Portuguese side Sporting Lisbon, who are currently seventh in the league, 12 points behind leaders Braga.
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