Rihanna looked a little blue Tuesday night, as she left dinner at one of her favorite New York spots, Da Silvano.

The bad gal wore a $1250 Kye FAUX fur coat -- she no need to be too down in the mouth ... it's not real -- so we love it!

Earlier in the evening, RiRi posed with bestie Melissa Forde in front of her abstract, geometric, silver, sparkly Christmas tree. We'd expect nothing less creative from our favorite female singer!