Howe maintained that the club had no intention of selling players as they planned to build on their successful first season in England's top flight.
"We had a bid yesterday (Monday) evening. The disappointing thing is why the bid has come in a day before our last game of the season -- two players who were due to play and a lot of speculation about their future," Howe told British media.
"Bizarre. The bid was rejected and we don't need to sell. We want to improve our squad, not weaken it. Our biggest challenge is to be keeping the players we already have."
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Bournemouth finished 16th in the league, five points above the relegation zone.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by John O'Brien)
