Gameiro has struggled since joining from Sevilla for £35million in the summer.
The France international bagged a six-minute hat-trick for Atletico against Sporting Gijon on Saturday night.
But he has just managed 12 goals for the season, prompting talk he could leave at the end of the campaign.
And the Mirror claim Tottenham have been offered the forward to ease the goalscoring burden on Harry Kane.
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Tottenham have reportedly been offered Atletico Madrid striker Kevin Gameiro
Harry Kane scored a hat-trick as Tottenham battled past Fulham
Kane is one of three players to hit double figures for Spurs this season.
Vincent Janssen, who arrived expected to provide competition for Kane, has managed just four.
Mauricio Pochettino will look to add a striker to his squad if Janssen continues to struggle in front of goal.
Vincent Janssen has struggled for Tottenham this season
And that could lead them to Gameiro who has established himself as one of Europe's deadliest strikers in recent years.
The 29-year-old has struggled to outshine Manchester United target Antoine Griezmann at the Vincente Calderon.