The weather forecaster say up to 10cm of snow is possible in some places.
It is due to take effect from 9pm tonight, and last until 6pm tomorrow evening, Sunday, January 5.
The disruption is expected just as most schools and many workplaces are set to return from Monday.
The fresh Met Office warning was issued this morning for Derry, Antrim, Armagh, Down, Fermanagh and Tyrone.
The Met Office said: “Spells of rain, sleet and snow will develop from the south late on Saturday before clearing through Sunday.
“Coastal areas will likely see rain, but inland and over higher ground, sleet and snow is more likely.
“Locally 1-3 cm of snow is possible away from coasts, with 5-10 cm possible over the Mournes, Sperrins and Antrim Hills.
“Ice will be an additional hazard, especially on untreated surfaces.”
The Met Office said there is likely to be disruption to transport and some infrastructure.
A yellow warning had already been in place.
It began yesterday at 4pm and remained until 10am today, stretching across counties Derry, Antrim, Down and Tyrone.
A spokesperson for the Met Office said: “The low pressure on Saturday is likely to bring some snow in Northern Ireland. The main focus will be on the mainland UK but there will certainly be some in Northern Ireland.
“The higher ground will be more affected with the mountains in the south east likely to see the most snow accumulation … More widely there will be more of a sleet and snow mix falling through Saturday night and the early hours of Sunday.”
Temperatures on Saturday will range between 1C and 3C, reaching near freezing in the east and bringing an assortment of snow, sleet and ice with it.
Heading into Sunday, the potential for wintery showers will continue, with the rain, sleet and snow stretching to the north of the country and maximum temperatures remaining in just the low single figures.
With schools starting on Monday, the Met Office has cautioned commuters of a “fairly considerable ice risk” in place, with a particular focus on rural areas.
They advised those travelling to give themselves extra time due to the more hazardous conditions.
Throughout Monday, icy surfaces are expected to subside as sunny spells break out later in the morning.
Temperatures will remain in the low single figures, reaching highs of around 3C.
The Met Office spokesperson added: “With the sleet or snow falling through Sunday, it does mean surfaces will be quite wet going into Sunday night and Monday and temperatures are expected to drop then.
“A drop of perhaps -2C and -3C is expected in rural parts so there could be a fairly considerable ice risk.
“It could be a little more dangerous, so I would advise to give people a bit of extra time given the wintery nature of the weather that’s around at the moment.
“Monday itself will see some spells of sunshine, so hopefully it will thaw away into the morning although around travelling to work and school times it could still be below freezing so do take care when travelling then.”
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