Arsenal and Tottenham are both being linked with Everton defender Michael Keane and Bournemouth winger Ryan Fraser.
The Daily Express have picked up reports that Tottenham could pay £50m for England international Keane and that Arsenal are also monitoring the situation.
The Daily Mirror, meanwhile, say Fraser is a summer transfer target for Arsenal and that Spurs are also showing an interest.
The Sun say Arsenal are in advanced talks with Brazilian club Ituano over a £6.5m deal to sign teenage winger Gabriel Martinelli.
Tottenham have no plans to sign a new first-choice goalkeeper despite mistakes made by Hugo Lloris, the Daily Mail reports.
The Sun say Tottenham and Chelsea are both interested in Gareth Bale, whose Real Madrid future will apparently be decided this summer.
Arsenal have approached Marseille sporting director Andoni Zubizarreta about a role at the Emirates Stadium, according to the Daily Star.
West Ham are among clubs the Scottish Sun are linking with Glasgow Rangers striker Alfredo Morelos.
And The Times reports that Tim Sherwood has concerns about taking over as QPR manager following the sacking of Steve McClaren.