Falkirk are holding out for more cash despite mounting interest in strikers Lee Miller and Collin Samuel.
Aberdeen have had a bid for Lee Miller turned down
And Bairns chairman Campbell Christie told BBC Sport that he expects both to be playing for the club when the new season starts in August.
Aberdeen are just one club who have had a bid for 20-year-old Miller turned down, while 21-year-old Samuel was linked with a move to Everton last season.
The Dons have angered Falkirk by suggesting that it would be in Miller's best interests for the First Division champions to accept their offer.
"We are not best pleased with what has been said about Lee Miller, but we have to take a decision about what is best for him and for his career," said Christie.
Potential suitors had hoped that the refusal by the Scottish Premier League to allow Falkirk promotion due to stadium problems would force Christie's board to become a selling club.
But Christie insisted: "He is a brilliant prospect and we think that another year with us will do him a world of good, getting regular first-team football."
Christie admitted that every player had his price - reports had suggested that Aberdeen had offered more than £100,000 but that Falkirk wanted £500,000.
But he said: "Aberdeen's bid was not at a level that would be appropriate for Lee or for us.
"We have also had offers from England and they have not matched our valuation either."
Falkirk could, however, be easier to deal with over Samuel.
"Lee has two years left on his contract, while Collin has only one, but we have not reached the stage of receiving a suitable offer for him," said Christie.
"The way things are at the moment, they will be with us when we travel to the Czech Republic for our pre-season training camp and when the season starts."
Indeed, Falkirk could add a striker before then, with Martin Cameron having been training with them since Friday.
Cameron rejected a new contract with St Mirren and has also had talks with First Division rivals Clyde and Inverness Caledonian Thistle.
He could take the place of former player-boss Owen Coyle, who is expected to join Dundee United.
Collin Samuel impressed on trial with Premiership side Everton
The two clubs have been negotiating over compensation and Christie reported: "We will be taking a decision on that over the next two days."
Meanwhile, Christie expected work to increase the capacity of Stenhousemuir's Ochilview ground to be ready for the season kick-off.
Falkirk would have shared the Excelsior Stadium with Airdrie United had they been granted promotion.
Instead, they will be tenants of the nearby Second Division club until their own new stadium is finished next year.