Radio Cadena Ser reports that the Old Lady are keen to make a move for Krkic as the striker could be set to leave Barcelona, due to a lack of first-team action at the club.
Inter Milan and Arsenal are also reportedly interested in the 20-year-old hitman.
Reports claim Barcelona coach Pep Guardiola is keen to keep the striker at the club.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.