Alonso returned to training at Melwood on Friday after his extended post-Euro 2008 holiday, and the Liverpool Post claims he wishes to clarify his Anfield future.
The Spaniard has said in the past that he would be happy to stay at Liverpool, but Benitez needs to sell in order to raise the required cash for not only Gareth Barry, but Robbie Keane as well.
Meanwhile, the Post claims Arbeloa wants to leave Liverpool.
The full-back reportedly would like to return to Spain for personal reasons.