(CNN) A man arrested in the killing of Valerie Reyes told police he put her inside a suitcase after she fell to the floor and hit her head, court documents said.

The suspect, 24-year-old Javier Da Silva, was arrested Monday and is facing a kidnapping charge in connection with Reyes' death, the US Attorney's Office of the Southern District of New York said.

"While today's arrest is certainly a welcome conclusion, it in no way alleviates the pain and suffering Valerie's family will continue to feel for years to come. The reality of their situation is utterly unimaginable, as is the crime with which Da Silva is charged," said William F. Sweeney Jr., assistant director in charge of the FBI's New York field office.

Reyes, 24, had been missing for about a week when her body was found February 5 inside a suitcase in Greenwich, Connecticut. A group of highway workers who were on a routine sweep spotted the bag about 15 to 20 feet from a road.

The Connecticut chief medical examiner's office has not yet released the cause and manner of Reyes' death.

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