She is best known for frequent writing and collaborating with Leonard Cohen,[1] although she has written songs for a number of other artists including The Pointer Sisters, Aaron Neville, Brenda Russell, Diana Ross, Don Henley, Michael Bolton, Randy Crawford, Patti LaBelle, Roberta Flack, The Temptations, Bettye LaVette, and others.

In 2001, she co-wrote, produced, arranged, and performed the backing tracks (as well as appearing alongside Cohen on the cover) for his album Ten New Songs.

In 2005, Robinson wrote the song "The High Road" specifically for Bettye LaVette for her album I've Got My Own Hell to Raise, which was #59 on Amazon's best of 2005 Editor's picks.

On October 27, 2008, Vibrant Records released Everybody Knows in the United Kingdom and Europe, replacing the original artwork from Leonard Cohen with a photo of Robinson.

In April 2009, UK label Freeworld Records re-released Everybody Knows in Europe with the original Leonard Cohen-drawn cover art.