According to Liverpool Echo, Rafael Benitez is keen on a reunion with the Venezuelan striker having worked with him at Newcastle United in the past.
The Toffees have been linked with a move for the Porto winger Luis Diaz as well but a move for the Colombian has not materialised yet.
It is no secret that Everton will have to add more quality and depth to their attacking unit and Rondon could prove to be a quality short term option for them.
The 31-year-old Venezuelan striker has played in the Premier League before with Newcastle and West Bromwich Albion.