The insurance giant is meeting with the agency today (Thursday) to finalise an agreement. The search was handled by the AAR.
The other pitching agencies, M&C Saatchi, Ogilvy Advertising and JWT, were told earlier that they would not be progressing to a final meeting.
According to Nielsen Media Research, the company spent £1.4 million on advertising in the UK last year. But DDB will now be given an increased global budget, as well as being briefed to overhaul R&SA's international brand to try to raise corporate awareness.
Clare Salmon, the recently hired group, strategy, marketing and customer director, who called the pitch, said: "We haven't made any decision."
DDB also refused to comment on the result.
Fallon, which is responsible for R&SA's £20 million More Th>n account, is unaffected by the review.