The second one, completed with Pulev backstage as blood still dripped from a cut above his left eye, finished in bizarre fashion.
After being asked if he deserved the next shot at lineal champion Tyson Fury, Pulev said "yes" before grabbing SuShe by the chin and planting a wet one.
SuShe told news.com.au the moment was "(a little) embarrassing" and "strange".
Pulev faced some nervous moments against Dinu, whose most recent outing was a defeat against upcoming Anthony Joshua opponent Jarrell Miller.
Dinu landed two heavy right hands to bust Pulev open in the fourth round and create a busy night for his cut man.
But Pulev rallied and started unloading heavy shots in the seventh round. He was penalised one point for a shot to the back of Dinu's head but the damage was done and he knocked his opponent down twice more to finish the job.