It didn't take long for the speculation to begin with Liverpool and current Fulham players. Let me stress at this point these are transfer rumors. Roy Hodgson just took the job and the transfer talk begins.
According to the Daily Mail, Brede Hangeland and Danny Murphy are both considered targets by new Liverpool manager Roy Hodgson. The article also mentions that Hodgson could be considering moves for Panathinaikos player Gilberto Silva and Rafael van der Vaart of Real Madrid.
I am expecting their to be a good amount of speculation coming up regarding current Fulham players. It shouldn't be a surprise that there would be rumors between Fulham and Liverpool. But, right now it is just transfer rumors. I will have an update when more information becomes available.