1. a state of affairs existing between those engaged in a relationship based primarily on text message correspondence.
2. a relationship where having text is the primary goal.
Person 2 - Ashley.
Person 1 - Ashley? Really?
Person 2 - Yeah, we're in a textual relationship
He: Yeah, you guys still hanging out?
She: Still? We haven't seen each other since we met - it seems we have a purely textual relationship.