News of Graham's hiring follows Euro RSCG's appointment of Lee Garfinkel as its chief creative officer of global brands earlier this week. Garfinkel, who was previously the chairman and chief creative officer for DDB New York, joined the agency to oversee creative across its roster of global clients.
In his new role, Graham will be responsible for overseeing the creative across Reckitt's portfolio of brands, which include Dettol, Vanish, Air Wick and Strepsils.
His move to Euro RSCG follows the appointment last week of Gerry Human as the ECD of Ogilvy in London.
As a creative partner alongside Will Awdry and Dennis Lewis, Graham was set to report to Human.
Graham first joined Ogilvy as a creative partner in 2005. He took over joint responsibility for the agency's creative department in 2008 following the departure of the ECD, Malcolm Poynton.
During his time at Ogilvy, Graham was responsible for work that included the Fanta Stealth Sound System app, which won a silver Lion.
Before joining the agency, he had spent seven years at TBWA\London, working on clients including Sony PlayStation, Whiskas and Skittles.