The Foxes sealed a return to the top flight after a decade-long absence at the weekend following defeats for QPR and Derby.
While the champagne was probably still dripping from the training kits of the players as they celebrated their promotion at the club's Belvoir Drive complex on Monday, new additions were already being linked with Leicester.
Footballleagueworld has reported that the East Midlands club are keeping an eye on Vietto, a striker currently playing in Argentina for Racing Club.
The 20-year-old is highly thought of in his homeland and in February his agent claimed that Liverpool and Real Madrid were keen to sign him.
``We know that many top clubs are following Vietto,`` his representative Jorge Cysterpiller is quoted as saying in The Metro.
``There is a lot of competition to sign him. Liverpool we know like him and so do Real Madrid. I think also two German teams.
``I think he could move at the end of the European season.``
Arsenal and Everton are also said to be interested in Vietto, who it is said back in Argentina is likened to Sergio Aguero and Javier Saviola.
You can make up your own mind on that by watching the video below.
Meanwhile, according to reports in Israel, Maccabi Tel-Aviv's attacking midfielder Eran Zahavi is also on the radar of Leicester manager Nigel Pearson.
Twenty-three goals so far this season have brought Zahavi, 26, it is claimed, to the attention of Pearson, although Newcastle, Swansea and Sunderland are also mentioned as potential suitors.
And on the evidence below, it is easy to see why.
It remains to be seen whether the speculation has substance, but Pearson did say on Monday that he will be looking to add to his existing squad ahead of Leicester's first Premier League campaign since 2004.
``I think we have a lot of players who are capable of making the step up, and I intend to keep the whole squad together,'' said Pearson during his pre-match press conference ahead of Tuesday night's home game against Brighton.
``I am talking about the squad that is currently involved in the games. I will do everything I can to keep those players together and add to that to make us a team that can function when we get where we want to be.``