The Colombian striker left Galatasaray in midweek and has opted for a move back to the Spanish top-flight
Rayo Vallecano have confirmed the signing of Radamel Falcao.
The Colombia international left Galatasaray on Wednesday when his contract was terminated by mutual consent.
The 35-year-old's move to back to La Liga had been on the cards since his departure and Vallecano confirmed the news on Saturday.
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