Varane has announced he will leave United this summer after three seasons at Old Trafford.
Azteca Deportes reports LigaMx club Tigres is targeting Varane.
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Tigres have already made contact with the centre-back. However, it is unclear how Varane feels about a move to Mexico.
Tigres are currently in third place in the Mexican league - and they want to strengthen the team further ahead of the second-half of the season.
Also with Tigres are former France teammate Andr-Pierre Gignac and the former Real Betis attacker Diego Lainez.