Updated: 3/8/2020, 5:33 p.m.

An elderly man who traveled to Washington State is Hawaii's second presumptive positive case of coronavirus and has been isolated at a Kaiser hospital in serious condition, officials said at a Sunday afternoon press conference.

Hawaii officials said the man began to feel ill on March 2 and then flew back to Hawaii, arriving on March 4. Federal officials are tracking down passengers who were near him on his flight. The airlines was not identified.

The man visited an urgent care clinic as soon as he returned to Hawaii and then went home, where officials believe he remained until an ambulance was called yesterday and took him to the hospital.

State Epidemiologist Sarah Park declined to give the exact ages of the men who are Hawaii's two cases, other than describing the latest patient as elderly and the first as an adult. She said that information is private.

Gov. David Ige emphasized that both cases involve infection from out of the state. "I just want to remind you that we have no evidence of community spread," he said.

Nonetheless, officials urged residents to be vigilant.

"Everyone of us should be monitoring our own health," Park said. Anyone who is having serious symptoms, including high fever and difficulty breathing, or have underlying medical conditions, should be calling their doctors. Let them know your travel history, she added.

The U.S. Centers for Disease Control and Prevention has been notified about the second patient and the state is working with federal officials to follow up with case. The state Department of Health plans to talk with anyone who had close contact with the patient.

On Friday, Gov. David Ige announced Hawaii's first positive coronavirus case. The man was a passenger on the Grand Princess cruise ship when it visited Mexico. He returned to Oahu, was checked by a doctor and tested positive for the illness. He is home-quarantined with mild to moderate symptoms.

The cruise ship connected to Hawaii's first case was anchored off the California coast on Sunday and scheduled to dock in Oakland on Monday. Over 20 cases of coronavirus have been confirmed on board the ship. Most are crew members who fell ill after it left Hawaii, which the ship visited Feb. 26-29.

Health Director Bruce Anderson said the state believes there are four Hawaii residents on the ship.

This is a developing story. Please check back for updates.