The mother of two-year-old Sky Metalawala has not been named a suspect in his mysterious disappearance, according to the latest update on the investigation.

In a press briefing on Tuesday, Belleuve, Wash., police maj. Mike Johnson said that Julia Biryukova was neither a suspect nor a person of interest in the case and that police had no plans to arrest her. He also said that the case is still considered a missing persons investigation, according to The Seattle Times.

Johnson said that all options that are related to Sky's disappearance are still on the table, and that police have spared no expense or resources to find Sky.

Sky has been missing since Nov. 6, when Biryukova told police she discovered her son missing after leaving him in a parked car while she walked to a gas station. Police have uncovered discrepancies in her story -- her car did not have an empty gas tank as she claimed, in explanation for an hour-long walk to the gas station and back.

 According to King County District Court records obtained by the The SeattleTimes earlier this month, Matalwala's parents were charged in Dec. 2009 with reckless endangerment and leaving a child unattended in a motor vehicle.

As IBTimes previously reported, Biryukova 's story has a striking similarity to an episode of Law and Order: Special Victims Unit called Missing Pieces, which aired on television the day before Sky was reported missing.  In the episode, a mother claims that her car was stolen with her baby in it when she was shopping for diapers. In the end, the woman admits that her baby was dead and that she made up the story about the stolen car.  

Biryukova and Solomon Metalawala, the boy's father, have been divorced since 2010. Police are looking into a profile on the matchmaking Web site seekingarrangement.com that appears to belong to Biryukova.

Pictures on her profile seem to resemble Julia Biryukova, and address provided as well as login records show it is from Washington state, said Brandon Wade, the CEO of Seekingarrangement.com told Komo News.

Seekingarrangement.com bills itself as the elite sugar daddy dating site for those seeking mutally beneficial relationships, and features profiles of women seeking men who are willing to provide financial support in exchange for some type of relationship. The woman resembling Biryukova refers to herself as J.B. and writes in the profile that she is seeking $3,001-5,000 per month in assistance from a successful mentor.

The account was reportedly opened in July, and the last date of activity was Oct. 26. Wade told KIRO 7 Eyewitness News that police had requested information about the account, which was created in Washington.

Last week, Johnson said in a news conference that police did not buy Birjuokova's story.

Given the limited amount of information we have, the fact that there's really no solid leads to follow up on in regard to where he might be - absolutely, we suspect foul play, Police Maj. Mike Johnson told reporters, according to CBS. Nothing about the story adds up. Something else happened.

Johnson said in Tuesday morning's news conference that while Biryukova has not sufficiently addressed the discrepancies in her story, there is not yet enough evidence to flip the switch and proceed with a criminal investigation, according to Seattlest.com.

Another news conference is expected at 3 p.m. on Tuesday.