An Expanded Cohort Trial of Bortezomib and Sorafenib in Advanced Malignant Melanoma

* Since we are looking for the highest dose of the study drug that can be administered safely without severe or unmanageable side effects in participants that have melanoma, not everyone who participates will receive the same dose of the study drug. The dose participants will get will depend upon the number of participants who have been enrolled in the study before and how well they tolerated their doses. * Each treatment cycle lasts 28 days. Participants will take sorafenib orally twice a day and will receive bortezomib as an out-patient intravenous injection on Days 1, 8 and 15 of every cycle. * At the end of each treatment cycle, participants will be examined to determine whether their disease has worsened, improved or stayed the same, and to see if they are experiencing any side effects of treatment. The following tests will be done at these visits: physical examination, vital signs, blood tests and scans (repeated every 2 months). * Once the maximum tolerated dose of sorafenib and bortezomib have been determined, an additional 12 participants will be enrolled in this study. This is called the expansion cohort of this study. Participants enrolled in this cohort will be required to undergo a biopsy of the tumor lesion before they start study treatment and an additional biopsy after you start study treatment.