Valencia are looking to improve their fortunes after a poor season thus far.
A move for Albiol would see him return from Real Madrid, and Superdeporte report that negotiations have been taking place between club officials.
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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.