When two people are in a relationship that is somewhere between friendship and a romantic relationship. They are usually initiated by men who need female companionship but are unable to comit. It is often very difficult to determine if you are on a date or just hanging out as these men will often pay. The word comes from joining the words friend and relationship, thus you are in a Frilationship. The frilationship is a very grey place and it is very difficult to define the situation. It is very similar to friends with bennefits except the bennefits aren't always sexual in nature and can be seen as help buying gifts for one's mother, ect.
I really thought he was intereseted in me. I guess that was just another frilationship.