Sterling was firmer at around $1.2833, as focus turned away from Sunday's pact with EU leaders to a vote on the deal in the British parliament next month.
Europe's single currency gained 0.3 percent to $1.1376 and was up 0.7 percent at 128.90 yen as European stock markets opened firmer and with U.S. stock futures up more than a percent.
Broader optimism over the euro was reflected in the latest weekly positioning data, where long dollar positions have declined slightly. Net weekly positions in the euro rose by their biggest weekly margin in more than two months.
Italy's governing coalition is discussing reducing next year's budget deficit target to as low as 2 percent of gross domestic product to avoid a disciplinary procedure from Brussels, a government source said on Monday. and
"Abating political risk in Europe could help all European currencies today," said Valentin Marinov, head of FX research at Credit Agricole in London.
"Recent media reports that the populist government in Italy may be willing to compromise on the budget is one of the potentially positive developments."
Marinov added, however, that most major currencies were likely to remain in a holding pattern ahead of key risk events later this week, which include a speech by the U.S. Federal Reserve Chairman Jerome Powell and the G20 meeting.
At the G20 meeting in Buenos Aires on Nov. 30, U.S. President Donald Trump and Chinese President Xi Jinping are expected to discuss contentious trade matters which would have an impact on currencies such as the Australian dollar and the New Zealand dollar which have close trading ties with China.
In another sign of improved risk appetite, the Japanese yen changed hands at 113.25, down by a third of a percent against the greenback.
Focus was expected to turn later in the session to the German Ifo business sentiment survey for the latest clues on the state of Europe's biggest economy as well as an appearance by European Central Bank chief Mario Draghi at the European parliament.
The New Zealand dollar was relatively unchanged at $0.6784. It earlier hit an intra-day low of $0.6753 as investors reacted to weaker-than-expected retail sales data.