* MSCI Asia ex-Japan touches highest since April 21

* Fed expected to skip rate hike this week

* Oil slides over 1% over China worries

SINGAPORE, June 12 (Reuters) - Asian shares stalled in cautious trading on Monday as investors braced for central bank decisions in Europe, Japan and the United States this week, along with U.S. inflation data that will likely influence the Federal Reserve's monetary policy.

MSCI's broadest index of Asia-Pacific shares outside Japan was 0.07% higher at 521.24, having touched a more than one-month peak of 521.94 earlier in the session. The index is up 4% for the month. Japan's Nikkei rose 0.41%, with Australia closed.

Futures indicated European stocks were set to open higher, with the Eurostoxx 50 futures up 0.35%, German DAX futures up 0.34% and FTSE futures gaining 0.40%. E-mini futures for the S&P 500 rose 0.13%.

Last week, the Reserve Bank of Australia and Bank of Canada stunned markets by increasing interest rates to tame stubborn and sticky inflation, stoking worries that the Fed might follow suit and take a hawkish stance in its June meeting.

Citi strategists said the Fed could be faced with the lesson that other central banks like the Bank of Canada have learned – further tightening is still needed to bring inflation to 2%.

Markets are pricing for a 71% probability the U.S. central bank will stand pat when it meets on June 13-14, according to CME FedWatch tool.

"It's a close call between a 25 basis point hike or a 'skip' ... and will come down to CPI on Tuesday," Citi said in a note.

Citi expects a 25 basis point hike from the Fed. "The most straightforward action to take when acknowledging rates should be higher is to raise rates."

While doubts persist among investors which path the Fed will take this week, they are more certain the European Central Bank, which meets on Thursday, will raise rates and remain hawkish.

"We expect (ECB President) Lagarde to retain a hawkish stance on inflation arguing that more needs to be done on the inflation front," said Mohit Kumar, economist for Europe at Jefferies.

"It is unlikely that Lagarde will give any hint that they are ready to pause after July, which is what the market is currently pricing," said Kumar, who expects the ECB to hike interest rates by 25 basis points.

Over in China, the Shanghai Composite Index lost 0.3%, while Hong Kong's Hang Seng Index slid 0.45%. China's sputtering post-COVID-19 economic recovery has weighed on stocks, with investors pinning hopes on more policy stimulus as weak manufacturing and exports hurt the broader outlook this year.

Following weaker-than-expected inflation in May, credit lending, retail sales and industrial output data being released in China this week could also undershoot forecasts.

The People's Bank of China (PBOC) is due to roll over a batch of 200 billion yuan ($28.00 billion) worth of medium-term policy loans, that are maturing on Thursday, and focus is on the rate at which they are rolled over.

A cut, which is possible given China's post-pandemic recovery has begun to sputter, would increase the gap between U.S. and Chinese rates and could weigh on the yuan.

In the currency market, the dollar index, which measures the U.S. currency versus six major rivals, rose 0.087%, with the euro down 0.07% to $1.074.

The yen weakened 0.06% to 139.44 per dollar ahead of the Bank of Japan's (BOJ) policy meeting on Friday.

The BOJ is expected to maintain ultra-loose monetary policy this week and its forecast for a moderate economic recovery.

Elsewhere, the Turkish lira slid to another all-time low of 23.77 per dollar, as investors waited for indications on policy moves after the appointment of a new central bank governor.

U.S. crude fell 1.33% to $69.24 per barrel and Brent was at $73.82, down 1.3% on the day. Both benchmarks notched their second straight weekly decline last week as disappointing China economic data raised concerns about demand growth in the world's largest crude importer.

Spot gold dropped 0.1% to $1,959.29 an ounce. U.S. gold futures fell 0.15% to $1,959.30 an ounce.

(Editing by Jacqueline Wong; Editing by Simon Cameron-Moore)