* Iran sees OPEC cuts at next meeting -report
* U.S. and China presidents in contact over potential deal
* Euro zone data indicates manufacturing weakness (Updates prices, adds detail on hedge fund positions)
LONDON, Nov 4 (Reuters) - Oil prices crept upwards on Monday, with Brent reaching its highest in more than a month after the previous day's boost from growing expectations of a U.S.-China trade deal and Iran flagging OPEC discussions over a deeper output cut next month.
Brent crude futures for January rose 91 cents to $62.60 a barrel by 1429 GMT, erasing earlier losses. December U.S. crude futures also swung back into positive territory, up 94 cents at $57,14 a barrel. Both reached peaks last seen in late September.
Chinese President Xi Jinping and U.S. President Donald Trump have been in continuous touch through "various means", China said on Monday, when asked when and where the two leaders might meet to sign a trade deal.
On Friday prices jumped by about $2 a barrel after U.S. officials said a deal could be signed this month.
Meanwhile, hedge funds have started to become more optimistic about the outlook for oil prices and are rebuilding long positions in crude and fuels.
Capping gains, euro zone factory activity contracted sharply last month as demand was dented by the trade war and continued lack of clarity over Britain's departure from the European Union, a survey showed.
"The oil market faces ample supplies with global demand almost stagnant and supplies rising," said Norbert Rucker, head of economics at Swiss bank Julius Baer.
"We (...) see oil prices trading around $60 per barrel in the near term and lower longer term."
In an effort to prop up oil prices, production cuts by the Organization of the Petroleum Exporting Countries (OPEC), Russia and other producers since January have reduced oil output by 1.2 million barrels per day.
Yet Russia again fell short of its obligations under the pact, energy ministry data showed on Saturday. <C-RU-OUT>
OPEC's output recovered in October from an eight-year low after a rapid rebound in Saudi Arabia's production from attacks on its oil infrastructure in September, offsetting losses in Ecuador and voluntary cuts under the pact.
On Monday, however, Iranian Oil Minister Bijan Zanganeh was quoted as saying that he expects further production cuts to be agreed at the next meeting of the Organization of the Petroleum Exporting Countries (OPEC) in December.
Saudi Aramco finally kick-started its initial public offering on Sunday, but valuations vary by more than $1 trillion, according to fund managers.
Meanwhile, Abu Dhabi's Supreme Petroleum Council on Monday approved the launch of a new pricing mechanism for Abu Dhabi National Oil Cos flagship Murban crude. (Additional reporting by Florence Tan in SINGAPORE Editing by David Goodman)