"A lot of progress has been made," Arena said.
He said the agency would have a better sense Sunday evening of what the Monday morning commute would be like, but added, "We're certainly hopeful for providing more service for Monday morning."
Bellone said Suffolk County's school districts would individually decide whether to open or close. Newsday reported Sunday afternoon that nine districts had decided to close on Monday.
The Long Island Power Authority reported outages on Long Island had dwindled to about 2,400 customers by Sunday afternoon.
The rapid pace of restoration was a far cry from Superstorm Sandy in late October, but officials pointed out that the storms were different, as were the scale of the outages. Sandy left 1.1 million customers in the dark.
A spokeswoman for National Grid, which is handling the restoration work, said some things had been done differently to allow for as quick a restoration as possible, like getting workers from off of Long Island in place before the storm hit to be able to help out.
"That was a huge improvement in terms of restoration," Wendy Ladd said. She said 600 workers had been brought in from elsewhere to supplement the 400 workers on Long Island.
Matthew Cordaro, current chairman of the LIPA Oversight Committee for the Suffolk County Legislature, said there was no comparison between the weather events.
"Snow generally doesn't pose any significant threat to the system. So no, I'm not surprised at the outcome. I don't think they did exceptionally well for the nature of the storm — average at best," he said.
Associated Press writer Verena Dobnik in New York City contributed to this report.
- International tax competitiveness report: See...
- Jailed, some mentally ill inmates land in...
- Islamic State group calls for attacking...
- Prosecutor: 800 rounds found in White House...
- Where do we draw the line on spanking?
- US, Arab allies hit IS strongholds in Syria,...
- 'The Lion King' earns record box office
- Why a parent going to prison can be worse...
- Islamic State group calls for attacking... 13
- Thousands march in NYC, around globe... 10
- Jailed, some mentally ill inmates land... 10
- How much America wants to be taxed 10
- Iranian youth behind 'Happy' video... 9
- Security breached: Intruder gets into... 9
- Where do we draw the line on spanking? 7
- It's not just young people —... 7