A process for treating pyrolysis gasoline that includes providing a first stage di-olefin reactor that includes a first bed and a second bed and introducing a pyrolysis gasoline stream to the first bed of the first stage di-olefin reactor. The process also preferably includes providing interstage cooling to the pyrolysis gasoline stream between the first and second beds of the first stage di-olefin reactor and routing the cooled pyrolysis gasoline stream through the second bed of the first stage di-olefin reactor. Finally, embodiments of the process also preferably involve routing at least a portion of an effluent stream from the second bed of the first stage di-olefin reactor to a location upstream of the first bed of the first stage di-olefin reactor, such that the effluent stream is configured to be combined with the pyrolysis gasoline stream.