Reports suggest that a £21million bid has been made, which should be enough to trigger the release clause in the 24-year-old's contract, but the Spanish club have yet to respond.
Costa scored 20 goals in 44 matches for the Spanish club last season but the summer arrivals of strikers David Villa and Leo Baptistao have increased competition for places up front.
According to PA Sport..
Liverpool see Costa as an important addition to their forward line and not a replacement for Luis Suarez, for whom Arsenal have had two bids rejected already.
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