Romelu Lukaku has remained in Belgium despite Manchester United expecting him back at Carrington on Tuesday, Sky Sports News understands.
Lukaku has been in Belgium training with Anderlecht with United's permission, but that mutual decision was only for Monday, a scheduled day off for the strike
Italian clubs Juventus and Inter Milan have both been interested in the 26-year-old this summer but neither have been successful with their approaches, with United valuing him at £79m.
According to Sky sources, United have rejected a new Inter Milan bid of £68m including add ons, increasing the prospects of the Belgian staying at Old Trafford.
Manchester United did not comment when asked about the new bid by Sky Sports.
A move to Juve collapsed at the weekend after Manchester United ended their interest in Paulo Dybala, who was set to join United in a swap deal with Lukaku - a move which Sky In Italy reported last week had been agreed in principle.
Lukaku is adamant he wants to leave the club and has not played a minute of pre-season football for Ole Gunnar Solskjaer's team
It is understood Solskjaer is prepared to let Lukaku leave before Thursday's transfer deadline and is willing to utilise emerging young players such as Mason Greenwood in attacking positions.
The forward, who has three years left on his current deal at Old Trafford, has 42 goals in 96 appearances for United since arriving for £75m from Everton in 2017.