The Spurs misfit has been linked with a move to the Estadio Vicente Calderon this summer but disgruntled supporters have started a social media trend using '#UnAtletiSinSoldado'
The 29-year-old scored just six times in 28 Premier League appearances in a deeply frustrating first season in England following his €30 million (£25.9m) move from Valencia last summer.
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However, disgruntled fans of the newly crowned Primera Division champions have made their feelings on the rumoured transfer perfectly clear, with '#UnAtletiSinSoldado' ('An Atleti without Soldado') trending on Twitter throughout Friday.
Many supporters point to Soldado's early career with bitter rivals Real Madrid - where he came through the youth ranks - as a reason for their frustrations over the rumours, rather than the striker's poor club form in the past year, especially given that he scored an impressive 81 goals in 141 appearances for Valencia in his last spell in Spain.
Other Atleti fans have not forgiven Soldado for accidentally inflicting a head injury on striker Radamel Falcao when Valencia beat Diego Simeone's side 2-0 in November 2012.
A similar viral campaign among Celta Vigo supporters ultimately ended successfully two seasons ago, when fans protested against the arrival of notoriously outspoken former striker Salva Ballesta, who was set to be named coach Abel Resino's assistant before the club decided against the move.