Rob Edwards sealed promotion from the Championship with Ethan Horvath as his No 1 but the USA international is due to return to Nottingham Forest following his loan, with Luton assessing their options in the goalkeeper market.
Begovic, 35, has left Everton after rejecting a new contract at Goodison Park, with Yerry Mina and Andros Townsend also released. Luton are among the teams considering the veteran Bosnia and Herzegovina international, who was at Chelsea and Bournemouth before moving to Merseyside.
Travers, 24, is also on the radar at Luton, with the Republic of Ireland international making 14 appearances last season but behind Brazilian keeper Neto in the pecking order under Gary O’Neil for the second half of the campaign. Should he make the move to Kenilworth Road, Begovic could be under consideration as No 2 back at the Vitality Stadium after leaving two years ago.
Napoli offer Kim Min-jae a new contract with PSG looking to swoop for South Korean defender
Napoli have offered Kim Min-jae a new contract, with Paris Saint-Germain the frontrunners for his signature if he decides to leave the Italian champions.
The South Korea centre-back, 26, is understood to have a buyout clause in his current deal that would see him leave Stadio Armando Maradona for less than £50 million in the summer transfer window.
However, a new deal with Napoli will update or remove any clauses making it easy for Champions League clubs to pick up the player regarded as one of the best centre-backs in Europe this season.
Despite the player nicknamed The Monster being on the radar of Premier League teams, no official bids have been lodged or the centre-back. PSG are interested in him and would rival English bids this summer.