Social media activity implies French right back Debuchy is set to leave Tyneside for North London; a £23.8 million offer had been sent to the Estadio Santiago Bernabeu in order to enter personal discussions with Germany midfielder Khedira and both Sanchez and his agent are alleged to favour the Gunners over alternative clubs.
All three have been competing for their respective nations in the World Cup and, with two of the three Arsenal targets already eliminated from the tournament in Brazil, the upper brass at N5 may be able to kick-start their transfer activity for the summer.
However, based on this anticipated triple signing, would Arsenal be strong enough to do what they failed to do last season - win the Premier League?
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Debuchy has returned commendable defensive statistics from his World Cup appearances with France, even featuring more frequently than the man he looks to be replacing at Arsenal; Bacary Sagna.
However, when it comes to supplementing an attack - a trait that must be encouraged at the Gunners because aside from Theo Walcott the team play with no natural width - one cannot help but ponder whether Serge Aurier would have been the preferential option.
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Sami Khedira never jumps out of the page when studying his statistical contributions, however, he fulfills an unheralded role akin to former defensive-minded midfield Invincible; Gilberto Silva.
The acquisition of the Real Madrid man would provide even further protection to the Gunners rearguard, provide manager Arsene Wenger with additional options when facing the Premier League elite he struggled to compete against last term (heavy losses to Chelsea, Liverpool and Manchester City) and could even help Ozil flourish, a player who is key to successful personal negotiations with Sami.
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Wenger named Chile as the very best nation from Group stage football at the World Cup in a statement that perhaps acknowledges that he has been closely scouting one or a number of their athletes. Days later, a La Liga expert then confirmed that, out of all the clubs linked with Sanchez, it is Arsenal who "are the likeliest to sign him".
He has obvious wow factor and would be seen as a marquee arrival should Wenger be able to close the deal. He would also provide an instant rival to Olivier Giroud because, as this HITC: Sport data analysis shows, when it comes to key statistics, Sanchez is literally twice as good as the Frenchman.
Arsenal's first-team, squad depth and options available to the management would all be significantly bolstered in what could be a strong week for the Emirates Stadium outfit.
However, due to the aggressive transfer policies adopted by Liverpool, Chelsea and a potentially resurgent Manchester United, Arsenal fans should perhaps this anticipated triple signing is a mark of further things to come, rather than as the conclusion of their summer dealings.