Celta Vigo drew Alaves in the other home and away semi-final to be played February 1 and 8.
Barcelona end Sociedad curse, Atletico cruise in Copa del Rey
The most recent cup meeting between Barca and Atletico saw the Madrid outfit win a Champions League quarter-final (1-2, 2-0) last April.
The last time the pair met in the Copa del Rey, as the Spanish Cup is named, Barcelona won (1-0, 3-2) and went on to lift the trophy in 2015 which they successfully defended last season.
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