Motherwell have rejected offers for defender Shaun Hutchinson and midfielder Nicky Law and have made it clear they would not welcome further bids.
A Championship club is understood to have made a bid for 21-year-old Hutchinson, while a League One club reportedly failed in an approach for English midfielder Law.
Manager Stuart McCall admits both offers were 'significant', but says it was important for Motherwell to take a tough stance.
McCall told the club's official website: "Whilst we understand every player at this club has a value, we also need to ensure we protect our interests by getting the right price for our talent.
"Rejecting both offers, which were significant in Motherwell terms, is also a sign of intent from the club's board that they are not prepared to accept any bid that comes our way.
"Unless a vastly-improved offer comes in then it is business as usual."