(Corrects to remove S.Korea KOSPI index down 1.3 pct in paragraph 2; South Korean markets are closed for a public holiday on Wed)

* Asian stock markets : https://tmsnrt.rs/2zpUAr4

* Italy weighs on global stocks; Nikkei off 0.2 pct

* Oil near four-year highs, gold firm

* Trade pact clause seen deterring China deal with Canada, Mexico

By Swati Pandey

SYDNEY, Oct 3 (Reuters) - Asian shares ticked lower on Wednesday and the euro held at six-week lows as Italy's mounting debt and Rome's budget plan set it on a collision course with the European Union.

Japan's Nikkei eased 0.1 percent on a stronger yen. Australian shares were a touch firmer while New Zealand's benchmark index fell 0.3 percent.

Investors remained jittery even as a new U.S.-Mexico-Canada trade agreement appeared to ease global trade tensions. A controversial clause in the trilateral pact put the focus back on the Sino-U.S. tariff dispute.

China's financial markets are closed for the National Day holiday and will resume trade on Oct. 8. The markets in the world's second biggest economy have taken a hammering this year as investors fretted the trade dispute could put a significant dent on growth.

That left MSCI's broadest index of Asia-Pacific shares outside Japan a shade weaker at 515.9 points.

Overnight, two of Wall Street's three main indices closed lower with the S&P 500 off a touch and the Nasdaq down 0.5 percent. The Dow gained 0.5 percent to close at a fresh record high.

"The big Tuesday problems are the same ones that were lurking behind the surface on Monday, including Italy budget worries," JPMorgan analysts said in a note.

"Stocks have been whistling past this graveyard for a few days but they are finally starting to pay attention," they added.

Italian 10-year bond yield soared to 4-1/2 year highs on Tuesday after a lawmaker said most of the country's problems would be solved by ditching the euro, but reassuring comments from the government bought calm to a jittery market.

The selloff in Italian debt was triggered after EU officials expressed concerns about Italy’s budget plan, which would widen the deficit significantly. The deficit blowout revived fears of the eurozone debt crisis and put pressure on the euro.

"Budget details are still unavailable but the real anxiety surrounds the medium-term path of spending and debt. There is no evidence to suggest the sell-off has run its course," ANZ analysts said in a note to clients.

The euro paused at $1.1553 after falling for five days in a row to $1.1506, the lowest since Aug.21.

Sentiment was also hampered as investors turned their focus to the Sino-U.S. trade war.