The Uruguay international joins Atletico Madrid on a free transfer as his contract with Porto is set to expire.
Rodriguez came close to leaving Porto in January after having fallen out with Vitor Pereira.
The 26-year-old has become Atletico Madrid’s first summer signing.
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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.