Spurs agreed a fee with Atalanta of €50million plus €5m in adds-on.
Footage circulating on social media on Thursday afternoon showed Romero preparing to board a flight to London.
"I only wanted Spurs because I really like this project," Romero is quoted as saying by Sky Sports.
"Paratici and the whole club wanted me and I'll give my best. Premier League is the best way to continue my career."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!