Raducanu is likely to be flanked by increased security at the event.
The WTA, whose full-time security arm is led by former US Secret Service agent Bob Campbell, says it can provide enhanced security if a player has been the target of a credible threat.
Players are usually escorted to and from the match court by at least one security officer.
But the Dubai incident raised questions about the security measures in place to protect players.
Raducanu had spotted the man in the first few rows of the stand during her match against Karolina Muchova.
A day before, Raducanu was approached by the same man in a public area close to the tournament.
Police said he gave the 2021 US Open champion a letter, which sources told BBC Sport included his name and telephone number, and took a photograph.
After raising her concerns with the WTA, the tournament’s security team were informed and told to be on alert.
However, the man was still able to enter the small stadium where Raducanu played later that evening.
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