The Athens-based company is being linked with two newbuildings at a South Korean shipyard.
Sources say the Constantine Angelopoulos-controlled company has inked a letter of intent (LOI) with DSME for delivery of the 320,000-dwt ships in 2016.
They are said to be costing $101m each.
DSME officials were not available for comment before TradeWinds went to press.
Shipbuilding players say Arcadia has been looking to diversify into the VLCC sector for some time.
