Suarez is determined to leave Liverpool and claims to have 'two or three options', although the Reds are still insisting the player is not for sale and will stay at Anfield.
Arsenal have already failed with one bid of £30million, while reports yesterday claimed that Chelsea had joined the hunt and could be willing to pay as much as £40million for the Uruguyan.
Suarez is now refusing to rule out a move to another Premier League and is weighing up his options after his representatives told Liverpool in a meeting on Monday that he wants out.
"My agent is in charge, he knows what I want," he told Uruguayan radio station Sport 890. "Now there are two or three options and the club knows.
"There are no (other) offers yet but Liverpool know exactly what is going on and what I want. It is good to know that I am still valued by teams like Arsenal.
"Friends call me up to ask if I am moving to Chelsea, to which I laugh. Don't believe everything you read or hear."