The defendants countered that the federal Securities Litigation Uniform Standards Act, or SLUSA, precluded state-law class actions involving alleged misrepresentations made "in connection with" the purchase or sale of covered securities.

Stanford's fraud had been centered on the sale of certificates of deposit by his Antigua-based Stanford International Bank, and much of the litigation centered on whether these qualified as securities under the applicable laws.

In October 2011, Dallas federal judge David Godbey ruled that SLUSA preempted the state law class-action litigation, noting that many investors sold securities to invest in the CDs, but the 5th U.S. Circuit Court of Appeals revived the cases.

Chadbourne, Proskauer and Willis appealed that decision to the Supreme Court, saying that lower courts are split on the issue, and that similar lawsuits over Bernard Madoff's Ponzi scheme have also been barred by SLUSA.

Stanford is serving a 110-year prison sentence following his sentencing last June. On January 11, a court-appointed receiver proposed that 18,000 of his defrauded investors would receive an initial $55 million payment on their claims, an average of roughly $3,000 per person.

The court could hear the appeal in April, and if it does would likely issue a decision by the end of June.

The cases are Chadbourne & Parke LLP v. Troice et al, U.S. Supreme Court. No. 12-79; Willis of Colorado Inc et al v. Troice et al, U.S. Supreme Court, No. 12-86; and Proskauer Rose LLP v. Troice et al, U.S. Supreme Court, No. 12-88.

(Reporting by Terry Baynes and Jonathan Stempel in New York. Editing by Kevin Drawbaugh and Cynthia Osterman)