LAS VEGAS — Summer-league sensation point guard Chasson Randle has narrowed down his choice to three teams, including the Knicks, according to his agent.

Randle fit in so smoothly running the point at the Orlando summer league because he ran a lot of triangle at his alma mater, Stanford. After going undrafted in 2015, Randle played last season for CEZ Nymburg, winning the Czech league title.

The Knicks want a third point guard for the roster, something coach Jeff Hornacek particularly craves due to the injury histories of Derrick Rose and Brandon Jennings.

“We’re in discussions with the Knicks, and he’s narrowed it down to two other teams,’’ his agent Kevin Bradbury told The Post. “For a young guy, it’s all about situations. He’s trying to figure out what’s the best fit and how he’d work with the Knicks.”

Randle played in the summer league last year with the Warriors, who could be a team in the mix. The Warriors and Knicks each invited Randle to training camp last year but without guaranteed money, so he skipped off to Europe.

The Knicks don’t have cap space left, so the most Randle can get is a guaranteed rookie minimum deal at $565,000 per. The Knicks could be outbid if one of the two undisclosed teams has cap space. Knicks president Phil Jackson also can offer Randle multiple years and offer up the triangle.

“It’s similar to the offense he ran in college,’’ Bradbury said. “So it was a no-brainer to come here to summer league. It’s definitely a version of what he ran, and that’s why he felt so comfortable.’’

Randle, Stanford’s all-time leading scorer, missed the first two summer-league games with a hip pointer, and the Knicks’ offense suffered, averaging a pathetic 48.5 points.

With Randle running the show with flair, that mark nearly doubled to 96 points over the final three games. Randle averaged 18.3 points and five assists in the small sample, shooting 47.6 percent from the field and 55 percent from 3-point land.

The Knicks have 14 guaranteed pacts, but it’s very possible only one of the two rookie big men — Marshall Plumlee and Maurice Ndour — will make the 15-man roster. The Knicks also plan to invite undrafted shooting guard Ron Baker to camp on a partial guarantee, but he’s a roster longshot. The players who don’t make the 15-man roster likely would be encouraged to join the D-League Westchester Knicks as NBA free agents.