The Hollywood star of Independence Day, Jurassic Park and Wicked arrived in the city amid considerable excitement, greeting hundreds of fans at an album-signing event on Argyle Street before taking to the stage at Theatre Royal with The Mildred Snitzer Orchestra as part of his Night Blooms world tour.

Jeff Goldblum wanders on stage at the Theatre Royal fifteen minutes before the performance is due to begin. There are enthusiastic applause as he walks in slow motion to the centre of the stage, a tall and kinetic presence, enigmatic and compelling. The evening starts with the lights up and a bit of a chat with one of the biggest names in Hollywood playfully quizzing the crowd, jumping between topics, occasionally bewildered but capable of dropping in adlibs with vaudeville comic timing.

This is his first time in Scotland, he explains, but he likes it and the people appeal to him. He challenges the crowd to talk about film, a topic close to his heart and bounces through some anecdotes as the crowd shout out the names of films, some of which he appeared in, some of which he didn’t. There’s a very Glasgow moment when someone in the fourth row tells Goldblum that she had met him in a bar in LA, twenty years ago: “Do you remember me?” Eventually, through some more back and forth, it transpires that he was playing piano in a bar and they both sang My Funny Valentine. Cue an impromptu duet between Jeff Goldblum and the crowd at the Theatre Royal.

Increasingly animated and encouraged by the crowd he invites more singing - “what’s a Scottish song?” - and is serenaded by the audience’s version of Loch Lomond, then later Flower of Scotland. “I want to move here”, he says.

The Mildred Snitzer Orchestra appear behind him and it’s on with the show, a quirky but musically impressive stomp through jazz and bossa nova versions of standards from the American Songbook, alongside unexpected modern pop songs and some film score classics.

Goldblum remains tethered to his piano for most of the show, although in a perpetual animated state of motion. His easy, conversational and joyously eccentric style ensures that the evening remains as much cabaret as it is concert.

Broadway star Khailah Johnson does much of the heavy lifting on vocals - soulful and impressive, completely attuned to the jazz machinations of the band as they weave their way around the melody. Jeff Goldblum can compete in the music stakes and does so with dedication and the occasional wry smile. Dropping the signature notes from Steven Spielberg’s Close Encounters of the Third Kind into his piano solo during a soulful rendition of Taylor Swift’s Lover - now that’s jazz.

For all the moments of levity, Goldblum, his musical director and double bassist Alex Frank, saxophonist Scott Gilman, drummer Ryan Shaw, Joe Bagg on organ and Graham Dechter on guitar are a serious outfit. The orchestra have been performing improvised melodies for 27 years, touring around Goldblum’s filming commitments.

Following the success of Goldblum’s companion album Still Blooming, which debuted at Number 1 on the Official Jazz & Blues Albums Chart and Number 10 on the UK Official Albums Chart last year, Night Blooms will be released tomorrow (5th June).

Goldblum adds his vocals on a few tracks on this forthcoming album, alongside a dazzling lineup of collaborators whom he has mobilised as a result of his decades-long career across film, television, stage, fashion, and music including Cynthia Erivo, Melody Gardot, Ariana Grande, Scarlett Johansson, Charlie Puth, Haley Reinhart and Maiya Sykes.

Goldblum said: “In my opinion, Night Blooms is our best album yet. The arrangements are, I think, quite a step up. We recorded with a live orchestra on many of the tracks. The strings add a depth to the music that raises the band and the singers, I believe, to a new level. All the special guests and collaborators are otherworldly and in top form. I’m brimming with excitement for the world to hear Night Blooms.”