Is there are connection between genital herpes and Mono?

I know that Mono is in the herpes family and it is very contagious so you should avoid any sort of contact with other people, but is it possible after the Mono clears that you can transfer genital herpes. I know that you can transfer HSV-1 (oral herpes) to the genital area causing genital herpes and was wondering if there was a connection or if the disease of Mono completely dies out.