The men were arrested in the 1000 block of B Street after police spotted them sitting in a parked car in middle of the street talking to a person in another car.
As officers approached, one of the vehicles fled the scene while the other remained, inside which were the three who were arrested.
There was no information on the vehicle that fled.
Meyers alleged the three were in a vehicle that drove to the house on North 13th Street and opened fire.
Police found no bullet holes on the house because of darkness but did find one bullet hole on a car parked in front of the residence. Police will check the house again today for bullet holes.
Meyers said police also are investigating whether shots were fired back at the vehicle the three men were in, adding bullet holes were found on the vehicle and the back window was shattered.
Meyers said witnesses at the scene reported three to five shots were fired at the house. They did not report shots being fired back at the vehicle.
Police also are investigating whether a fourth individual was inside the vehicle allegedly involved in the drive-by.
Meyers said when police stopped the vehicle with the three men inside, one was sitting in the driver's seat and two were in the back seat. No one was sitting in the front passenger seat.
Meyers added while police did find a gun inside the vehicle, it likely was not the gun used in the shooting. He said the bullet hole found on the vehicle at the residence did not match the gun reportedly found with the three men.
The case is still under investigation.
Staff Writer Mario Rentería can be reached at 337-3435.