Many company air connect Italy with BVI by daily flights. For example Air France and Iberia have a direct flights from Europe: Air France arrive at BVI with flight from Italy to St Martin/Tortola via  Paris. Iberia from Milan and Rome to St. John/Tortola via Madrid. There are daily flights with Puerto Rico, American Virgin Islands, Antigua, Anguilla, Domenica, St. Lucia, St. Vincent, Barbados, Trinidad, Guyana, ST. Maarten e St Kitts. You can use one of many company air that connect Caribbean.