The parents of a missing Disney cruise line member met with investigators Sunday when the vessel returned to its Los Angeles port without their 24-year-old daughter. 

Rebecca Coriam, whose hometown is Chester, England, was reported missing at sea Tuesday after she failed to report for a scheduled shift on the Disney Wonder.

The ship was on a seven-day cruise along the western coast of Mexico.

Coriam, who worked as a coordinater for youth activities, made a phone call from the ship shortly before being reported missing, officials told the family. Details of the phone call have not been released.   

Coriam's parents, Michael and Ann, and cousin, Trish Davies, spoke with reporters while waiting for the ship to dock Sunday morning.

The Coriams, who traveled from England, boarded the ship to gather their daughter's belongings, and said they were hoping to view surveillance video of the young woman, KABC.com reports.

"She was definitely onboard the ship when the ship was sailing from L.A. to Puerto Vallarta," Ann Coriam told the station. "It is just very, very painful and the thought of not seeing her again...it is just frightening to think about it really."

The 1,000-foot-long ship, which carries more than 2,700 passengers and 950 crew members, has reportedly been searched twice.

Because the Disney Wonder is registered in the Bahamas, police from Nassau are handling the investigation.

The Associated Press contributed to this report