Philadelphia Union midfielder Tranquillo Barnetta is contemplating a return to his hometown club St Gallen.
West Ham have announced the signing of Swiss midfielder Edimilson Fernandes from FC Sion.
Balotelli, 26, is not in Jurgen Klopp's plans at Anfield and has been linked with an exit before the transfer window closes next week.
West Ham have agreed a fee of £5.5 million with the Swiss side for Fernandes.
Newcastle defender Kevin Mbabu is to return to his native Switzerland to spend the season on loan at Young Boys.
Konate, 23, has been a target for a number of Premier League clubs over the last few years after impressing for club and country.