Gameiro, 26, will sign a five-year contract once he has completed a medical, the Andalusian side, who are competing in the Europa League next season, said on their website (www.sevillafc.es).
Negredo left this month to join Manchester City, joining Spain team mates David Silva and Jesus Navas at the English Premier League club.
Gameiro has made eight appearances for France, the last in November 2011 in a 1-0 friendly win at home to United States, and was hoping to win his place back in the squad for next year's World Cup in Brazil, Sevilla said.
(Reporting by Iain Rogers, editing by Justin Palmer)
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