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According to the News Men, Veiga has made it clear he would prefer a move to Arsenal over Tottenham if bids were made this summer.
Veiga has been linked to Arsenal as well as Tottenham, Manchester United and Chelsea.
Meanwhile, in another development, however, Juventus midfielder Paul Pogba is reportedly set to receive a mega-offer from Saudi Arabia.
Pogba has been offered £128 million over three years to join Saudi Pro League (SPL) side Al-Ahli, according to La Gazzetta dello Sport.
The France international returned to Juventus last summer from Manchester United.
Al-Ahli have already signed the likes of Edouard Mendy and Roberto Firmino to their ranks this summer.