I think you can dress very nice which can be what some might think is semi-formal and be well within the dress code. Formal means wearing a tux, I don't think you have to go that far to look nice and dressed up.
Here is what DH and I would wear to eat at Remy;s
Here is the
Remy's dress code per the website
Dress Code
A dress code is enforced during dinner.
Men: A jacket (such as a sports, suit or tuxedo jacket) is required, with dress pants/slacks and shoes. Ties are optional. Please no jeans, shorts, sandals, flip-flops or tennis shoes.
Ladies: Cocktail dress, evening dress, pant suit or skirt/blouse are required. Please no jeans, shorts, capri pants, sandals, flip-flops or tennis shoes.
It is a little less dressy at
Palos
Dress CodeAt Palo, dress pants and shirt or jacket is required for men and a dress or pantsuit is required for women. Please no jeans, shorts, capri pants, flip-flops or tennis shoes.