Leicester City manager Brendan Rodgers revealed the club were priced out of moves to replace Harry Maguire.
The England international joined Manchester United for £80million on Monday - a world record fee for a defender.
PA Sport reported that the Foxes offered around £30million for James Tarkowski as they chased a replacement but Burnley rejected the bid and the clubs were far apart in their valuation, with Leicester's interest swiftly ending.
Nathan Ake was also looked at but Bournemouth reportedly wanted £75million and Rodgers conceded prices were too high.
"Yes, as simple as that," he said. "The club had every right to hold out for what their valuation was for Harry but then everything was going to be very difficult.
"One because of the price and two because that timeline was really tight. We looked at it, it didn't happen but we're happy with what we have."