* MSCI Asia-Pacific index up 0.56 pct, Nikkei rises 0.5 pct

* Euro pulls back from 10-month lows

* Crude dips after rallying on ebb in supply concerns

By Shinichi Saoshiro

TOKYO, May 31 (Reuters) - Asian stocks rebounded from a two-month trough on Thursday, while the euro enjoyed a respite after sinking to its lowest in 10 months as political turmoil in Italy that had roiled global financial markets showed signs of easing.

MSCI's broadest index of Asia-Pacific shares outside Japan gained 0.56 percent after slumping to its weakest since the start of April on Wednesday.

Hong Kong's Hang Seng rose 0.5 percent, South Korea's KOSPI added 0.6 percent and Japan's Nikkei advanced 0.5 percent.

The Shanghai Composite Index rose 0.9 percent after data showed China's factory growth in May accelerated strongly and well above forecasts to an eight-month high.

Overnight, the Dow rose 1.25 percent and the S&P 500 climbed 1.27 percent.

Stocks in Italy, the epicentre of the latest market tumult, bounced back 2.1 percent on Wednesday. But it had given up all the gains made in 2018.

Global stocks were battered, safe-haven government bond yields fell sharply and the euro tumbled earlier in the week after Italy's two anti-establishment parties scrapped plans to form a coalition. That raised the prospect of a general election, stoking fears such a vote will effectively be a referendum on the country's euro membership.

A degree of calm, however, returned, with the two anti-establishment parties renewing efforts to form a coalition government rather than force Italy into holding elections for the second time this year.

"Experience shows that these 'crises' tend to settle down for long periods once the initial adjustment of market expectations has been effected," wrote Carl Weinberg, chief international economist at High Frequency Economics, in a note to clients.

Italy's successful auction of five- and 10-year government bonds also assuaged concerns about its ability to finance itself after turbulence in its debt market resulted in the biggest one-day surge for two-year yields in 26 years.

"The financial markets had been able to assess and digest the situation in Italy over the past few days and it is now time for a bit of reprieve from the turbulence," said Masahiro Ichikawa, senior strategist at Sumitomo Mitsui Asset Management in Tokyo.

"The reprieve will allow the market to return their focus back on fundamentals, such as Friday's U.S. non-farm jobs report."

The euro stood little changed at $1.1658 after rallying 1 percent the previous day. The currency had sunk to $1.1510 on Tuesday, its lowest since late July 2017.