Manchester City have offered £15 million for West Ham United pair Craig Bellamy and Scott Parker.
The Daily Mail says the bids were rejected out of hand on Sunday night as the Hammers moved to 10th in the Barclays Premier League table with a 2-1 home win against Stoke.
Although City, who drew 2-2 at Blackburn, will be back with an improved offer, the West Ham board hope the decision shows the supporters there is an ambition to withstand pressure to sell.
They have not encouraged City to improve on the offers of £7.5m each for Bellamy and Parker.