* Euro steadies, off lows vs Swiss franc, dollar
* Activity subdued as market in holiday mode
(Adds quote, updates prices, changes dateline prvs TOKYO)
By Tamawa Desai
LONDON, Dec 24 (Reuters) - The euro held its ground on Friday after rebounding from a record low against the Swiss franc and a three-week low versus the dollar, but gains were curbed as investors remained wary about euro zone debt problems.
Traders said the euro's rebound was overdue particularly against the Swiss franc after heavy franc buying by hedge funds had helped the single currency hit a series of record lows this week to the point where technical signals indicate an oversold market.
The market showed limited reaction to Fitch Ratings downgrading late on Thursday Portugal's long-term and local currency ratings by one notch to A-plus, with a negative outlook. The downgrade puts Fitch's rating for Portugal on a par with Moody's A1 rating, but still two notches above that of Standard and Poor's A-minus. [
]"(Fitch's move) was widely expected to some extent, and it was one notch only so there was not much reaction," said James Ashley, macroeconomist at RBC Capital Markets.
Little action took place with volumes drying up heading into the Christmas holidays. U.S. markets are shut on Friday along with many European centres.
"In this type of market condition, it's very hard to take a position because you'll just get whipped out and that's why there are hardly any orders. People are waiting for January when liquidity returns to work out what they want to do," a trader at a U.S. investment bank said.
"The euro is still a sell-on-rally trade. Anything above $1.32 is worthwhile selling in my view and probably there won't be any buyers until the low $1.30s, where we could see some Asian central bank interest."
By 0812 GMT, the euro was slightly higher at $1.3130 <EUR=>, off a three-week low of $1.3055 set on Thursday.
The euro has managed to clutch to its 200-day moving average, now at $1.3091, for the past week, drawing some support from central banks' buying as well as from hopes that China may step up its support for euro zone peripheral countries.
A breach of $1.3200 could trigger a move back towards the Dec. 17 high around $1.3360.
Versus the Swiss franc, it was at 1.2607 franc <EURCHF=R> having bounced off an all-time low around 1.2440 set this week as the pair's oscillators, such as the RSI, showed the possibility of a near-term oversold position.
UBS analysts said in a report to clients the bank's flow data shows hedge funds have been adding close to record amounts of francs in the past eight weeks, with record buying both against the euro and the dollar last week.
"The strong trend (in the Swiss franc) suggests that further short term franc strength may be likely. However, positioning points to increasing risks of holding aggressive longs," they said.
The dollar was flat at 82.97 yen <JPY=>, having hit a 1-1/2 week low around 82.83 yen on Thursday. It was near the bottom end of a wider range roughly between 82.40 and 84.40 seen since late November.
In contrast, the Australian dollar hit six-week highs at $1.0067 on Thursday, and was last at $1.0032 <AUD=D4> on interest from real money accounts looking for exposure to higher yields and a brighter economic outlook. (Additional reporting by Hideyuki Sano in Tokyo; Editing by Toby Chopra)