* Aussie jumps vs dollar, yen on RBA Stevens' upbeat view
* Other cross/yen pairs trim losses helped by gains in Aussie
* Market awaits 2-yr U.S. Treasury note auction on Tuesday
* Investors keeping an eye on U.S.-China dialogue
* Market awaits S&P Case-Shiller Home Price Index
The euro held firm against the dollar on Tuesday after hitting its highest in eight weeks the previous day, when a jump in U.S. new-home sales encouraged investors to seek riskier assets >>