* Euro gives ground, talk hedge funds selling into rallies
* Aussie on the defensive, stops above $0.8365
* Aussie trims losses after fall on Rio Tinto comments
* Euro/Aussie pair higher as carry trades unwound
By Kaori Kaneko
TOKYO, May 24 (Reuters) - The euro fell on Monday as investors sold into its latest bounce, while the Australian dollar dropped as unwinding of carry trades funded in the single currency continued on concerns markets would remain volatile.
After last week's flare-up, when the euro hit a four-year low, investors were still cutting risk in their portfolios as they waited for markets to calm down and the Australian dollar shed 0.5 percent against the dollar and the low-yielding yen.
The Aussie's losses also deepened after miner Rio Tinto <RIO.AX><RIO.L> said a mining tax had damaged Australia's investment reputation, but it came back off the lows as stocks in China, with which Australia has close trade ties, rose 3 percent.
Even though the Aussie is seen as having scope to rebound possibly above $0.8400 <AUD=D4>, it remains vulnerable, with Aussie/dollar one-month risk reversals <AUD1MRR=ICAP> showing an extreme bias for puts in the options market.
The euro too remains vulnerable, as its short-covering bounce runs out of steam, and one trader said there was talk that hedge funds were still selling into its rallies against the dollar.
"The currency market focus is still the euro zone's fiscal trouble, but wariness about its impact on the global economy seems to be spreading, making investors increasingly risk averse," said Jun Kato, senior manager for investment at Shinkin Asset Management.
The euro <EUR=> fell to $1.2508 in Asian trade, down 0.5 percent from late New York business on Friday.
Last week it hit a four-year low of $1.2143 and then snapped back to post its first weekly gain against the dollar in six weeks. But worries about the health of Europe's banking sector were expected to check further gains, with resistance pencilled in at Friday's high of about $1.2670.
At the weekend, the Bank of Spain said it was taking over the running of Spanish savings bank CajaSur after its planned merger with another lender failed. [
]That weighed on the euro, already hurt by worries about the impact of deep public spending cuts in Greece, Spain and Portugal.
It slipped to 112.86 yen <EURJPY=R>, down 0.2 percent from New York on Friday when it jumped more than 1.0 percent.
Although there is no sign of improvement in its bearish trend, euro/yen is likely to consolidate this week after a sharp fall pushed the pair below its weekly bollinger band, FX analysts at Bank of Tokyo-Mitsubishi UFJ said in a research note.
But even if the pair rebounds, its gains may be capped around Y114.50 in the near term, they said. So far this month, euro/yen has lost nearly 10 percent.
EURO VS AUSSIE
Speculators trimmed some of the record high short positions against the euro in the week ended May 18. [
]. Still, traders said the euro was likely to struggle in the short term."The euro is still vulnerable structurally as the short covering that we saw last week seems to have run its course," said Tony Morriss, senior currency strategist at ANZ Bank. "Also the unwinding of carry trades that lifted the euro against the Aussie last week could run into some resistance."
The euro rebounded sharply against the high-yielding Aussie <EURAUD=R> last week, hitting a three-month high around A$1.5456 on the back of a huge sell-off by hedge funds. On Monday, the pair was trading at A$1.5083, not far from that peak.
Charts indicate the euro/Aussie put in a weekly key reversal last week and if it closes above A$1.4777 this month, it will put the pair in line for a monthly key reversal. That would not bode well for the Australian dollar.
The Aussie <AUD=D4> fell 0.3 percent to $0.8297, with traders reporting sizable buy stops above $0.8365. Those stops are expected to be taken out this week, which could push the Aussie to $0.8425 before it turns down once again.
Positioning in the options market also points to more pain for the currency. Markets now favour Aussie/dollar puts by over 5 percent, partly reflecting a growing need among investors to hedge against further declines.
The dollar index <.DXY> rose 0.4 percent to 85.69, helped mainly by the greenback's rise against the euro and the yen. The dollar inched up 0.1 percent to 90.17 yen <JPY=>. (Additional reporting by Anirban Nag in Sydney and Rika Otsuka; Editing by Michael Watson and Chris Gallagher)