The Argentine has struggled to find his best form for West Ham.
This is according to a report from Estadio Deportivo in Spain.
West Ham United's Jonathan Calleri heads at goal
Sevilla are hoping to bring in a new striker in the winter, according to the report, and have identified the Argentine as a potential signature.
They are hoping that West Ham may end their loan deal with the player this winter so he can make the move to Spain and the report suggests that Calleri would be happy to make the switch.
West Ham United's Jonathan Calleri shoots wide
The Argentine arrived at the club on loan from Uruguayan outfit Deportivo Maldonado after an impressive stint out on loan at Brazilian side Sao Paulo.
West Ham were desperate for strikers in the summer and Calleri appeared like a rushed acquisition, as was that of Italian international Simone Zaza.
West Ham United's Jonathan Calleri during training
Both have struggled at West Ham since making the move to English football. Calleri has played just 129 minutes in the Premier League and is yet to find the back of the net since his move to England.
Sevilla seem keen on bringing his disappointing spell at West Ham to an end.