"Real Sociedad have reached an agreement with Arsenal FC which will allow Carlos Vela to continue at the club on a permanent basis," the Spanish club said on their website on Tuesday.
"The player, meanwhile, has signed a contract extension which ties him to Real Sociedad for the next four seasons.
"The player's previous contract was due to expire in June 2016. The Mexican striker has now formally signed his new contract."
Vela scored 21 goals last season for Sociedad, who finished seventh in the La Liga.
(Writing by Sudipto Ganguly; Editing by John O'Brien)
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