British MPs will return to the Parliament later Wednesday after the top court ruled that its suspension was unlawful.
The House of Commons will reconvene at 1030 GMT.
Prime Minister Boris Johnson, who said he "profoundly disagreed" with Tuesday's landmark ruling, is flying back early from a UN summit in New York.
"We in the UK will not be deterred from getting on and delivering on the will of the people to come out of the EU on October the 31st, because that is what we were mandated to do," he said.
Meanwhile, opposition leader Jeremy Corbyn, who was also forced to bring forward his set-piece annual conference in Brighton, has repeated his demand for the PM to step down.
"Boris Johnson has been found to have misled the country. This unelected prime minister should now resign," he said.
On Tuesday, the Supreme Court ruled that Johnson's decision to suspend it for five weeks was unlawful and therefore null and void.
Two suspects in the brazen daylight heist of some of France's crown jewels from the Louvre were arrested in Paris on Saturday evening and are being questioned, Le Parisien newspaper reported on Sunday, citing sources close to the investigation.
Ukraine's President Volodymyr Zelenskyy called for new strong sanctions against Russia and its allies after Russian drones killed three and injured 31, including six children, in an overnight air attack on Kyiv.
The outlawed Kurdistan Workers Party (PKK) said on Sunday it was withdrawing from Turkey as part of a disarmament process it is coordinating with the government, and pressed Ankara for concrete measures to move the process along.
Israeli forces carried out a "targeted strike" on an individual in central Gaza who was planning to attack Israeli troops, Israel's military said on Saturday.