The family of Pham Thi Tra My and Nguyen Dinh Luong are concerned that they may be one of the victims.
Vietnamese families are waiting for their loved one to be among the 39 dead in a truck trailer in the UK.
Police investigations have continued since the trailer was discovered in Grace in Essex on Wednesday.
Maurice Robinson, 25, was charged with murdering 31 men and 8 women.
Essex police also said they were charged with trafficking, immigration and money laundering crimes.
Robinson at Craigavon Laurel Drive in Northern Ireland was due on Monday at Chelmsford Magistrates Court.
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Police said Morris Robinson would appear before the Magistrate on Monday.
In Vietnam, relatives of 19-year-old Bui Thi Nhung expressed fear that he might have died.
Teens are thought to be the youngest of those who died.
Since the body was discovered on Wednesday, several families in Vietnam have expressed concern about missing relatives.
Among them, 26-year-old Pham Thi Tra My (26 years old) sent a message to the family last late, including two men, Nguyen Dinh Luong (20 years old) and Nguyen Dinh Tu.
According to Reuters, Vietnamese police are collecting DNA samples from family members who have been reported missing to identify the victim.
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A representative from VietHome, a website for Vietnamese in the UK, said he delivered nearly 20 photos reported to be missing in the detective.
Police said they were investigating "the wider plot" after reporting that this truck likely belonged to three convoys carrying around 100 people.
The other four were caught by officers.
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Catholics prayed for 39 at Nghe An Mass in Vietnam.
Three of them-a 38-year-old man from Warrington, Cheshire and a 48-year-old man from Northern Ireland-are detained in police.
All three were arrested for trafficking and trafficked.
A man in his 20s who was arrested by the Irish police in Dublin was known to be "interested" in the Essex police investigation.
- Why do Vietnamese people try to arrive in the UK?
- Essex truck dies: what we know
The victims, whom the police initially thought of as Chinese, were inside a truck trailer that came to England via the Belgian trailer Zeebrugge.
Police officers said post-testing was underway.
The police said they carry "very few" identity documents, making the police rely on features such as fingerprints, DNA, tattoos or scars.
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The body was found early Wednesday
Meanwhile, concerns have been raised about the UK's ability to collaborate with European officials to fight trafficking since Brexit.
Labor's Yvette Cooper and the exiled Conservative Dominic Grieve expressed fears of cooperation with Europol, which has not yet been agreed upon as a plan for the post-Break transition period.
However, the country said it will continue to cooperate with EU law enforcement agencies, with or without Brexit trading.
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