All-rounder Dwayne Bravo is one of three players offered central contracts by the West Indies Cricket Board.
Bravo has a personal sponsor that conflicts with WICB deals
Bravo was denied a deal in May when it was felt his contract with telecoms company Bmobile conflicted with the WICB's main sponsor rival Digicel.
Batsmen Daren Ganga and Runako Morton bring up to 10 the number of players tendered offers by the WICB.
Morton and Bravo are in India for the Champions Trophy, while Ganga will join the team in November in Pakistan.
Bravo is seen as the lone world-class all-rounder in the West Indies side.
In 16 Tests he has scored 956 runs at 32.96 and taken 36 wickets, including a haul of 6-55 against England at Old Trafford in 2004.
The board's initial refusal to offer him a deal came despite a signed agreement stating "a player may have and shall be entitled to fulfil obligations under pre-existing player endorsement contracts".
The WICB had also signed a memorandum of understanding with the players' union that 10 players would be signed up, but then offered just seven.