Celtic will play Portuguese Champions League debutants Braga in the third qualifying round of the competition.
The Bulgarians won the first leg of the third qualifying round clash thanks to Kostadin Stoyanov's 73rd-minute goal.
That next match for Liverpool is the Champions League third qualifying round first-leg tie against Maccabi Haifa on Wednesday.
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Former Scotland captain Rioch's side have a 5-0 first-leg lead over Modrica so should make it through to the third qualifying round.
Hibernian face the winners of the tie between Videoton of Hungary and Slovenia's NK Maribor in the Europa League third qualifying round.
The victors from that encounter advance to the third qualifying round, that draw to be made on 28 July when another 18 teams enter.
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The winners of the replay are drawn at home to Blue Square North side Vauxhall Motors in the third qualifying round on 21 November.
Gainsborough have been drawn away at Unibond Premier Division side North Ferriby United in the third qualifying round of the FA Trophy, with the tie to be played on Saturday, 21 November.
Benitez has been frustrated over their failed attempts to sign Aston Villa's Gareth Barry and they could only draw 0-0 against Standard Liege on Wednesday in their Champions League third qualifying round first-leg match.
And they are in need of a lift after drawing at Telford United in the FA Cup third qualifying round last weekend, only to then lose the replay on Monday night at St George's Lane.
Fulham began their Europa League campaign in the third qualifying round with a trip to Vetra in Lithuania on 30 July, and then came through a difficult group which included Italian side Roma and Swiss outfit Basle.
It all started nine months ago on a scorching summer's day in Lithuania, where the Cottagers beat FK Vetra in the third qualifying round, before moving on to west-central Russia for the qualifying play-off second leg against Amkar Perm.
After all, he rejected Champions League football at Arsenal and Tottenham in favour of a lucrative four-year deal with the Reds, who begin their season with a Europa League third qualifying round first leg against Macedonian side Rabotnicki Komental on Thursday.
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American coach Bob Bradley's side boast nine points from their first three matches in Group G, with only the winner going through to the third and final round of African qualifying later this year.
The top two teams will automatically qualify for the group stage of Europe's top club competition, in which Milan lost in the last 16 to Barcelona this season, while the third must play in the final qualifying round.
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