Pompey have been in administration since February and remain threatened with liquidation unless a buyer can be found.
Fans' group the Portsmouth Supporters' Trust and former owner Balram Chainrai also want to take over at Fratton Park, with both parties having until the end of this week to finalise their bids.
But administrators PKF are now considering an offer from the new consortium.
A PKF spokesman told The News: "We can confirm we have had a preliminary offer from a Middle East group and we are currently seeking clarification of funding before we can take it any further."
Pompey won their first game of the season, 3-0 at Crawley on Saturday, to move out of the League One relegation zone but will be deducted 10 points by the Football League when they eventually come out of administration.
- Balram Chainrai