Fulham want Tottenham target Parker to lead them back to the Premier League
Owners keen to persuade former England midfielder to stay at Craven Cottage; Declan Rice gives England a boost.
However, he has been heavily linked with the managerial job at Tottenham, with Daniel Levy believed to be a fan.
Despite the interest and Parker remaining tight-lipped about his future, The Sun understands Fulham owner Shahid Khan and his son Tony, the club's director of football, want the former England midfielder to stay and pull off another instant promotion.
And according to The Sun, they believe they feel they have the nucleus of a squad strong enough to come back to the Premier League at the first time of asking.
Lazio boss Simone Inzaghi remains favourite for the Tottenham role and has shortened to 7/4 with Sky Bet.
Rice targets Brighton return to boost England hopes
Declan Rice is set to give West Ham and England a major boost by returning to action in Saturday's Premier League clash with Brighton.
Rice has been out for a month after damaging his knee while playing for England in their World Cup qualifying win over Poland.
The Sun reports that the midfielder is now back in full training and aiming to be available to David Moyes for the trip to the Amex Stadium.
His return is also a welcome boost to England boss Gareth Southgate, who will name his squad for this summer's tournament on May 25.
Mourinho eyes swoop for Brighton defender White
Jose Mourinho's Roma are the latest club to declare an interest in Brighton defender Ben White, according to The Sun.
Liverpool were watching him closely after his year on loan at Leeds United, making inquiries to the Seagulls who are also believed to have rejected bids of up to £25million from the Elland Road club.
But it is not just Jurgen Klopp who admires from afar, with Arsenal and Manchester United tracking his performances and Paris Saint-Germain and Borussia Dortmund emerging as interested parties.
Tottenham are 6/1, with Liverpool 9/1 and Manchester United at 10/1. Leeds are 14/1 shots.