The Mirror reports that Barcelona are keen to bring in Krul as back-up to first-choice Victor Valdes.
Barcelona’s current reserve keeper, Jose Pinto, is set to leave the Spanish side when his contract with expires next summer.
Barcelona coach Tito Vilanova is keen to bring in a top class replacement for Pinto.
Krul is currently out of action with an elbow injury.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.