Conversation so far:
Where did they film the movie Gigi?
Most of film, Gigi was filmed in Paris, and a small part was filmed in California.
How was the weather during the filming of Gigi?
In Paris, the weather had become unseasonably hot, and working in hotel rooms without air-conditioning was uncomfortable.
Where did Arthur Freed and Alan Jay Lerner film the movie Gigi?
Most of the film, Gigi was filmed in Paris, and a small part was filmed in California.
Did the cast like filming Gigi in California?
Alan Jay Lerner was unhappy with the look of the scene as it had been shot by Minnelli, and at considerable expense, the restaurant was recreated on a soundstage.
When were Arthur Freed and Alan Jay Lerner able to finish the score for Gigi?
By mid-July, the composers had completed most of the score, but still were missing the title tune.

Question: Is there any other interesting information?
Self-contained rewrite: Is there any other interesting information about the film Gigi besides the issue with the missing title tune?