(Reuters) - The rupee is expected to open slightly stronger on Tuesday, supported by firmer Asian peers and as the euro steadied.
* The partially convertible rupee should start around 44.55 per dollar and move in a 44.45 to 44.65 band, dealers said. It had closed 0.13 percent weaker at 44.585/595 on Monday.
* The euro held steady on Tuesday, taking a breather after its slide to a record low versus the Swiss franc the previous day, but is still vulnerable to fears that Europe's debt crisis could worsen.
* At 0231 GMT, the index of the dollar against six major currencies was down 0.25 percent at 75.297 points. It was at 75.637 points at the close of the domestic market on Monday.
* The MSCI index of Asian stocks ex-Japan was up 0.11 percent, while the Nifty India futures traded in Singapore were down 0.04 percent.
(Reporting by Shamik Paul; Editing by Ranjit Gangadharan)