A319 First Officer reported a fumes event during cruise. The flight crew diverted to a suitable airport where a safe landing was executed and Maintenance was requested.

Narrative

On Day; I was operating a flight from ZZZ to ZZZ1 as pilot monitoring. While cruising at FL320; one or two of the Flight Attendants called the Captain on the intercom to report a strong odor/fume in the aft cabin area. At least two of the three Flight Attendants also reported being light-headed and having headaches as a result of said fume. Therefore; the Captain decided to divert to the nearest suitable airport in the area. Given that we had to land as quickly as possible; we could not waste time (fume onboard) to burn fuel for a landing below max landing weight. Although we were heavy at the time of the fume event; we had to get on the ground safely as quickly as possible. The Captain had me [request priority handling to a suitable airport] as we prepared for an overweight landing. The approach and landing were executed by the Captain without incident. Based on anecdotal references from other crew members; the A320 seems to have more fume events than any other fleet type at Company A. I would like to see a joint effort between Airbus and Company A in working out a permanent fix for the recurring issue of smoke/odor/fumes onboard A320 jets.