Argentina's coast guard has sunk a Chinese trawler that was fishing illegally within the nation's territorial waters, officials from the South American country said on Tuesday, marking a first test of relations between President Mauricio Macri and Beijing.

A coast guard vessel pursued the fishing vessel Lu Yan Yuan Yu 010 toward international waters in a high-seas chase on Monday, firing warning shots across the Chinese boat's bow as it attempted to raise the crew by radio.

"On several occasions, the offending ship performed maneuvers designed to force a collision with the coast guard, putting at risk not only its own crew but coast guard personnel, who were then ordered to shoot parts of the vessel," the coast guard said in a statement.