The Merseysiders are keen to add to their attacking options and Negredo has been offered to clubs across Europe.
Everton could also sign him for a cut price fee due to financial problems at Sevilla.
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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.