The defender arrived at the Nou Camp in January but has made just one appearance in the first team following his move from Palneiras at a fee of just over £11 million.
Despite the modest fee in current terms, Barca attached a £100 million release clause and the 24 year old Colombian Mina made his debut when replacing Gerald Pique in the 83rd minute of the Copa del Rey semi-final againstValencia.
Barcelona won the match 0–2 moving on to the final whilst Mina then made his home and league debut against Getafe playing throughout in the 0-0 draw.
According to reports in Spain, Mina is expected to leave Barcelona in the summer on a loan basis and with the Premier League his favoured option that the Hammers are leading the chase to sign him.
David Moyes is known to be planning a raid for central defenders and the 24 year old Colombian could fit the bill.