While waiting for Estelle's response he spotted...him. He recognized him when he moved in, he works in the "The Other Bar" the one that sounds more like a cathouse than a proper bar. (Then again, Travis isn't above having his bar host such a profession, as long as he got a cut of the profit.)

He thought it was best to introduce himself to his rival competitor. It's best for business that he appear as a friendly ally. He reaches for a complementary beer, but decides against it. He had no idea if this man was as friendly as his persona was, or if he was a sleaze like he truly was. So giving him a beer would be a chance for him to say awful things about his bar. (Mostly because he wasn't above doing the exact same thing to awfully named "Golden Tiger".) 

"Terribly sorry to leave in such a rush. But I have some business to attend to. Here's your star milk." Travis moves an empty glass to Estelle. "Just leave the money in the cup Ta-ta."

Travis decided to walk over to the conversation he and the other girl were having.

"Pardon me for intruding. But I recall that you said that you were in charge of "The Golden Tiger" and I felt the need to introduce myself to my fellow competitor. Good Day, my name is Travis Rollins, owner of The Tree Sap. I work right across from you."

He extended his right hand to Travis, hoping for a shake. He turned to Juliet and extended his left hand as well. "Good Day, I hope you are enjoying the New Years Festival."