11:38 AM PT -- New info directly from police ...

The Weehawken PD says Lauletta was driving a 2017 Jaguar in a "dangerous manner" around 8 AM.

When an officer tried to stop him, the QB "attempted to evade him, making an illegal turn and continuing towards Route 495, almost striking the officer."

Another officer then stopped Lauletta -- but the QB "refused various instructions to produce his driving credentials and exit his vehicle."

Lauletta was then arrested and charged with 3rd degree eluding police, obstructing administration of law, resisting arrest, reckless driving, disregarding an officer's directions, improper turn and failure to remain in a marked lane.

There's more ... cops say upon further investigation, they realized the 2017 Jaguar registered to the QB was involved in a similar incident the previous day.

Cops say a summons for the previous incident was sent by mail since the car left the scene.

Kyle Lauletta -- the NY Giants backup quarterback -- was arrested in New Jersey early Tuesday morning on his way to practice, law enforcement confirms to TMZ Sports.

The 23-year-old was pulled over in Weehawken -- and allegedly failed to obey a police officer's directions, according to NJ.com.

Lauletta reportedly came close to striking the officer with his car.

NY Giants head coach Pat Shurmur issued a statement saying, “We were made aware of the situation this morning, and we have been in contact with Kyle. We are still in the process of gathering information. This is obviously very disappointing.”

Lauletta is a rookie out of the University of Richmond. The Giants selected him in the 4th round of the 2018 Draft.

With the Giants playing like garbage this season, there has been a push for Shurmur to start Lauletta over Eli Manning when they face the 49ers on Nov. 12.

Story developing ...