After playing a starring role for the Spanish outfit during 2022-23, Veiga has emerged as a target for a wide array of teams due to the £34.5m release clause in his contract.
However, despite his known value and the likes of Manchester City, Liverpool and Chelsea allegedly monitoring the situation, a deal is yet to materialise.
According to transfer expert Fabrizio Romano, Napoli have made an effort to move in front of the English giants as they look to make an eye-catching signing ahead of their Serie A title defence.
With Piotr Zielinski on the brink of departing the Naples giants, new boss Rudi Garcia will require a replacement, but it is claimed that Napoli have failed with a bid of £25.9m.
As negotiations are due to continue, a transfer for Veiga remains more likely than not unless the 21-year-old is prepared to negotiate a new deal with his present club.
Meanwhile, Sheffield United midfielder Sander Berge is reportedly on the verge of linking up with fellow newly-promoted side Burnley.
While the Norway international has enjoyed a successful stint at Bramall Lane, contributing 15 goals and 12 assists in 109 outings, he has consistently been linked with a transfer elsewhere.
At a time when he has less than 12 months remaining on his contract, clubs have been continuing to circle, yet journalist Mike McGrath of The Telegraph says that Burnley are in official talks with their counterparts at the Blades.
Transfer expert Fabrizio Romano adds that a verbal agreement is in place for the 25-year-old to make the switch to Turf Moor in due course.
Should a transfer be completed, Berge would become Burnley's 10th senior signing since they won last season's Championship title, but he would become the first arrival in the engine room.
Nottingham Forest are allegedly in negotiations with Nice regarding the potential arrival of goalkeeper Kasper Schmeichel.
Last summer, the Denmark international left Leicester City for the South of France and proceeded to make 45 appearances in all competitions.
However, there have been suggestions that the 36-year-old remains on the radar of a number of Premier League sides ahead of the new campaign.
According to Kian Fonoudi, who was speaking to Eurosport.Dk, Forest are in talks to bring Schemichel back to the East Midlands in what would be deemed to be a controversial move due to his affinity to their neighbours.
The goalkeeping situation at the City Ground remains a hot topic for debate with Arsenal stopper Matt Turner also in line to sign for Forest in the coming days.
While Manchester United's Dean Henderson has been heavily linked with a return to the club, Forest are yet to negotiate a deal for the England international.