Markelle Fultz speaks with Jeff Goodman about the prospects of playing for the Celtics and the "good and bad" from meeting with coach Brad Stevens. (2:09)

BOSTON -- Markelle Fultz's two-day visit with the Boston Celtics culminated with a lengthy film session with head coach Brad Stevens, in which the 19-year-old's game was critiqued and Stevens offered a brief glimpse into Boston's offensive and defensive philosophies.

The Celtics own the No. 1 pick in this month's draft, and Fultz is widely considered the top available prospect. Fultz performed a solo workout for Boston on Tuesday and, later during a tour of TD Garden with ESPN, said, "It almost feels like I belong here."

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For Stevens, these private film sessions are an opportunity to get to know a potential pick in one of the coach's favorite environments. They also offer a small glimpse of just how coachable that player might be.

For his part, Fultz embraced the opportunity and enjoyed hearing Stevens critique his play.

"It’s good to hear [criticism]. That's what I've always wanted to hear, ever since I was younger," Fultz said. "I don't really like to hear the good stuff; I try to hear what can make me better because that's something I can work on."

Fultz said Stevens pointed out both positive and negative plays, but he said the message overall was finding ways to improve at the NBA level.

"[Stevens noted] little stuff about playing defense, better ways to help me," Fultz said. "[He highlighted] offensive stuff he liked that I did, the way I come off screen and rolls and different stuff like that. Also, stuff I can improve on on both ends, stuff I did good on the defensive end, too. It was both good and bad."

Stevens, 40, now has four NBA seasons under his belt, but remember that Fultz wasn't even a teenager yet when Butler made consecutive trips to the Final Four with Butler in 2010 and 2011. Still, Fultz is well aware of Stevens' coaching abilities.

Markelle Fultz was impressed with Boston and Celtics head coach Brad Stevens. Now, he's likely headed to Philadelphia, after the Celtics and 76ers complete a pre-draft trade. Jennifer Pottheiser/Getty Images

"I always thought he was a good coach; just X's and O's and the way he cares about his players," Fultz said. "You ask any of the players that played under him, they're always going to say he did what was best for them. He's a players' coach."

So what kind of player can Stevens and the Celtics expect if Boston selects Fultz with the No. 1 pick on draft night?

"If the Celtics happen to draft me, they're going to get a young player who's going to give it their all every night," Fultz said. "Whether that's scoring the ball, whether that's going to get a block, whether that's rebounding, whether that's sitting on the bench encouraging the players to play better, I'm always going to give it my all."

Added Fultz: "I would say [in] my game, I don't think there's one thing I can't do. I can score all three levels, I can go and get a rebound at any point of the game, I can go block a shot. That's pretty much what I would say: I'm versatile. I can guard the 1, 2, 3. I can do anything you need me to do to win a game."

Fultz said the Celtics did not discuss whether they would take him with the No. 1 pick, noting that he prefers not to know in advance of draft night.

"I don't want to know. I'd rather wait to that day to hear my name called, wherever I go," Fultz said. "That's just the way I am. I don't want anything to be given to me, I want to earn everything. So just wait until that last moment, just sitting in that chair, being anxious to see if I'm going to be No. 1 or wherever I go. I think that's going to be better than already knowing going in. ... I'd rather wait to that big day."