The meeting is taking place in the background of speculations that the two companies are contemplating a manufacturing tie-up.
But the contours of the proposed tie-up remain hazy as both Dell and Wipro have their own manufacturing facilities.
Meanwhile, sources said the main purpose of Mr Dells visit is the first anniversary celebrations of Dell International Services, the call centre arm of the computer company which caters to Dell Compters requirements in India and Asia Pacific.
Besides the meeting with Mr Premji, Mr Dells schedule includes a press conference and interaction with his employees.
He is also meeting Karnataka chief minister SM Krishna.
No other meeting is scheduled for the time being sources added.
According to the schedule, Mr Dell, the youngest CEO to be ranked in the Fortune 500 list, will arrive in Bangalore from Singapore on Monday late night (Tuesday early morning) in a private jet and leave the city on Tuesday itself.
Dell officials here are keeping everything connected with the visit a closely guarded secret due to security concerns.
Mr Dell, who started the company with an investment of $ 1000 in 1984, is visiting Bangalore, famous for its software expertise, for the first time.
Mr Dell was scheduled to visit the city last year but cancelled it due to the kidnapping of Kannada matinee idol Rajkumar by forest brigand Veerappan.
Bangalore which had seen a flurry of heavy-weight political visits in the recent past is getting an opportunity to host a high-pofile business tycoon after quite a while.
The city had the opportunity to host former General Electric chairman Jack Welch in 2000 and Hewlett-Packard chief Carly Fiorina in 2001.