Rabab al-Rafai says the meeting took place Tuesday but gave no further details.
ICRC president Peter Maurer began a three-day visit to Syria on Monday.
The Red Cross said earlier that during his talks Maurer would address the "rapidly deteriorating humanitarian situation" and the difficulties which the ICRC and the Syrian Arab Red Crescent face in reaching people affected by the country's civil war.
Syria's violence has escalated in recent weeks. Activists say August was the bloodiest month since the uprising began in March 2011, with about 5,000 people killed.