Ataman did not give details of the offer made to Bryant. Williams’s deal is reportedly worth $200,000 to $350,000 a month, and Bryant would be asking for significantly more. The players’ deals would allow them to return to the N.B.A. when the lockout ended.

When Williams signed, Ataman said a sponsor would pay his salary. When Ataman first discussed Bryant’s interest, he said the club would seek another sponsor to pay him. Ataman insisted Friday that the club had plenty of sponsors and plenty of money to pay Bryant, but that a sponsorship deal with Turkish Airlines was being discussed.

Bryant has a two-year endorsement deal with Turkish Airlines, although he said as recently as December that he had never been to Turkey.

Besiktas is trying to make the biggest splash in the business of luring locked-out N.B.A. players, and it remains one of the few teams with enough money to lure N.B.A. players abroad. Other clubs have seemed less willing to offer deals with escape clauses for when the lockout ends. Most of the other signings of N.B.A. players by foreign clubs have been for a full season, including Sonny Weems’s deal with a team in the Lithuanian league and Nenad Krstic’s with CSKA Moscow. Center Timofey Mozgov signed with B.C. Khimki of the Russian League. The Nets’ Sasha Vujacic signed with Anadolu Efes of the Turkish League; his contract has an option for a second season.