Investigators have been looking at Yale maintenance workers, people who worked in the lab and fellow students. Police tried to reassure Yale students that no other students are involved and no one else is in danger.
The building where the body was found is known for good security and not allowing people inside who don't have the proper Yale employee or student identification.
University President Richard Levin told students at a meeting Monday that they did not have to worry about a murderer being loose on campus, according to the Yale Daily News. He said the building's security system logged in anyone who visits the building and what time they enter and leave. That has allowed police to reduce the number of suspects to a handful of people, the paper reported.
Levin said the appropriate people were being monitored.
"The people in the basement aren't going to cause any trouble until the matter is resolved," he reportedly told the students.
Avery told ABCNews.com today that authorities didn't start focusing on the lab until a few days after Le was reported missing. Police were initially unsure, he said, if she had disappeared voluntarily before her wedding, or if she had been a crime victim.
Once video surveillance cameras revealed Le coming into the building Tuesday but not leaving, search efforts zeroed in on the building. Her body was eventually found, Avery said, by members of the Connecticut State Police Major Crimes Unit.
Wedding gifts had been left outside the family home of Le's fiance, Jonathan Widawsky. Their impending nuptials had led some to believe that Le had gotten cold feet and fled.
The discovery of the body ended a massive search by state and federal authorities that had expanded to a Connecticut waste processing facility in Hartford, in addition to the Yale lab, in the hopes of finding clues to her mysterious disappearance.
Using cadaver-sniffing dogs in round-the-clock shifts, FBI agents and state troopers dressed in hazardous material suits began searching the facility in Hartford Saturday night.
Police scanned blueprints of the lab and brought in blood-sniffing dogs, paying particular attention to the building's basement.
Yale had also offered a $10,000 reward for information leading to Le's whereabouts.
Adding to the intrigue surrounding the case was an article Le wrote for a campus magazine earlier this year about how to stay safe on the Ivy League campus.
The article, titled "Crime and Safety in New Haven," was published in February in the magazine produced by Yale's medical school and compares higher instances of robbery in New Haven to other cities with Ivy League universities.
"In short, New Haven is a city and all cities have their perils," Le wrote. "But with a little street smarts, one can avoid becoming yet another statistic."
Le, who is 4 feet 11 and weighs 90 pounds, had left many of her belongings in the lab when she disappeared.
"She left her pocketbook, her cell phone, everything in the lab," Le's co-worker Debbie Apuzzo said.
Le's Facebook page showed her posing in wedding dresses and smiling with Widawsky, a Columbia University graduate student in physics, whom she described as her best friend.