Alzate has become surplus to requirements at the Amex Stadium after the arrival of Carlos Baleba this week.
Brighton are now prepared to listen to offers for the midfielder ahead of the end of the transfer window on Friday night.
The 24-year-old remains coveted in the transfer market and several clubs are interested in getting their hands on him in the final days of the window.
It has been claimed that Wolves and Everton are amongst the teams who are keen to sign Alzate.
Sean Dyche is pushing to bring in more players before the window slams shut on Friday night and wants Everton to reinforce their midfield.
Wolves are also in the market for midfielders as Matheus Nunes is pushing for a transfer to Manchester City.
However, Wolves and Everton are not the only clubs chasing Alzate as it has been claimed that he has suitors in Spain and Italy as well.
Fiorentina and Sevilla are also alive to the possibility of signing the Brighton midfielder in the final three days of the window.
