The two clubs will be swapping divisions next season after drastically differing fortunes in the campaign that has just finished.
Leeds romped to the Championship title to end their 16-year exile from the top flight, while Bournemouth suffered an agonising last-day relegation from the Premier League.
Attacking reinforcements are high on the agenda for the Whites amid concerns over their current options.
Patrick Bamford managed 16 goals in their title-winning campaign but his previous spells in the Premier League were miserable, while a dispute is ongoing over RB Leipzig loan flop Jean-Kevin Augustin.
Premier League done deals: Every confirmed transfer this summer so far
Marcelo Bielsa was spotted at Goodison Park on Sunday to watch Bournemouth’s 3-1 victory against Everton, which was not enough to retain their status in the top tier.
And former Leeds full-back Danny Mills believes Cherries trio Callum Wilson, Josh King and David Brooks will be on his radar.
Mills told Football Insider: “They have players like Josh King that have done extremely well.
“Bielsa will only look at the players who would fit his style. Callum Wilson is a possibility as well as David Brooks.
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“Wilson, King, Brooks – definitely. You would take all of those players if they became available at the right price. They would certainly do a job in the Premier League next season.”
Leeds have also been linked with former PSG striker Edinson Cavani, who is available on a free transfer.
The Whites have made signings in this summer’s window, which officially opened on Monday.
Helder Costa and Illan Meslier’s loan deals were turned into permanent arrangements.
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