Seoul, South Korea (CNN) Thirteen people are dead and two missing after a fishing vessel collided with a refueling tanker off the South Korean coast early Sunday morning, the country's coast guard said.

Twenty passengers and two crew members were on board the Seonchang-1, a chartered fishing boat, when it crashed into the 336-tonne (370-ton) tanker before capsizing near the port city of Incheon, west of Seoul.

The fishing expedition left the port of Jindu on Youngheung Island at 6 a.m. Sunday (4 p.m. ET Saturday), at which point the weather was "fit for fishing," the coast guard said. Nine minutes later, the first distress call came in.

President Moon Jae-In asked emergency responders to continue search and rescue operations into the night.

The overnight search involved coast guard, navy and local government vessels as well as a coast guard plane and one air force plane, South Korea's Yonhap news agency reported.

Read More