The search for the man who fatally shot Minnesota-based United Healthcare’s CEO continues into its third day on Friday.

Police in New York now have a better picture of the suspect and a better idea of his actions leading up to the shooting of 50-year-old Brian Thompson early Wednesday morning ahead of an investor’s conference at a New York City hotel.

According to sources who spoke to ABC News, the shooter came to New York from Atlanta by bus sometime last month, arriving at the Port Authority Bus Terminal before checking into the Upper West Side hostel on Nov. 30. His exact arrival date in the city is still being determined, however, police sources say the shooter checked into that hostel using a fake name.

When he checked into the hostel, police sources also told ABC News that the woman asked to see his smile, leading to the better photo police now have of him being captured on a surveillance camera. Police say they are confident that someone will recognize his face.

Police officials told CNN on Friday that they believe the gunman left New York City by bus after the act. It was also revealed that police officers recovered what is suspected to be Thompson’s backpack in Central Park, according to ABC News.

“We have reason to believe that the person in question has left New York City,” Commissioner Jessica Tisch said.

Video of the suspected shooter leaving the scene of the shooting Wednesday showed him riding a bicycle to Central Park and later taking a taxi cab to a bus depot with commuter service to New Jersey and Greyhound routes to Philadelphia, Boston and Washington, D.C., Chief of Detectives Joseph Kenny told CNN.

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Although investigators have yet to reveal a motive, they say they did find clues that may point to a grudge against UnitedHealthcare or the insurance industry as a whole.

Meanwhile, UnitedHealth Group provided an updated statement late Thursday, saying in part they are thankful for the patients, consumers, health care professionals, associations, government officials and others who have taken time out of their day to reach out as the company grieves.

“While our hearts are broken, we have been touched by the huge outpouring of kindness and support in the hours since this horrific crime took place,” said the company.

The statement went on to say that their priorities are “first and foremost, supporting Brian’s family; ensuring the safety of our employees; and working with law enforcement to bring the perpetrator to justice.”

In Minnesota, Maple Grove police say they responded to bomb threats at two properties owned by the Thompson family on Wednesday around 7 p.m. However, police say they suspect it was all a hoax, as no devices or suspicious items were found.

The Associated Press contributed to this report.