GLOBAL MARKETS-Asian stocks test new 19-mth highs, some markets seen overvalued

* Hong Kong stocks at new five-month highs on renewed inflows

* Technical indicators ring warning sign for Asian stocks

* U.S. dollar bounce runs out of steam on profit taking

* Australian dollar sturdy on yield-seeking bets

By Saikat Chatterjee

HONG KONG, Feb 16 (Reuters) - Asian stocks inched to new 19-month highs on Thursday with thanks to an ongoing rally on Wall Street and bolstered by gains in Chinese stocks while the dollar came in for a bout of profit-taking after a recent bounce.

MSCI's broadest index of Asia-Pacific shares outside Japan rose 0.2 percent to its highest since July 2015. It is up by a tenth this year thanks to more optimistic earnings expectations and an unwinding of bearish emerging market bets.

European stock markets are set to open steady to slightly higher according to index futures

Wall Street pushed relentlessly into record-high territory on Wednesday, with the S&P 500 notching a seven-session winning streak.

Hong Kong stocks climbed to a fresh five-month high and swelling demand from mainland investors thanks to Beijing's drive to tackle growing asset price bubbles and the market's relatively cheap valuations.

Some investors said markets were looking slightly overvalued from a technical perspective after the bounce in recent weeks. For example, on a relative strength index (RSI), the MSCI Asia-ex Japan index was at its most overbought since 2015.

"We are seeing some profit-taking at these levels and unless there is a big correction, the broader uptrend in the Hong Kong market seems broadly intact," said Alex Wong, Hong Kong-based director of Ample Finance Group.

Though latest regional export data confirmed an upswing in economic activity in Asia was gathering pace, political uncertainty and anti-globalization rhetoric from the U.S. made investors cautious of adding big positions.

"In light of these risks, we remain cautiously optimistic on Asian equities, having set a 12-month target for the MSCI Asia ex-Japan of 550 - a 7 percent increase from current levels," said Tuan Huynh, Asia CIO for Deutsche Bank wealth management which manages 312 billion euros globally.

Australian stocks gave up early gains and turned lower on the day after new full-time jobs declined in January, a setback after a recent run of positive data.

CAUTION

Caution was also evident in the currency markets with the dollar's recent bounce running out of steam as investors took profits -- even as fresh data showed a pick up in inflationary pressures.

"Retail sales seemed to have been boosted by higher prices rather than an increase in the real consumption," said Shin Kadota, senior forex strategist at Barclays. "Investors also took profit as the dollar was trading high this week."