* Trade subdued as U.S. markets closed for holiday
* SNB's Hildebrand says watching fx moves closely
LONDON, July 5 - The dollar steadied on Monday after falling on weak U.S. jobs data late last week, while the euro edged down in subdued trade as concern over euro zone debt receded but markets fretted about the strength of the recovery.
Traders were wary of chasing the dollar lower given a U.S. market holiday on Monday in observance of Independence Day.
Concern about the U.S. economy mounted after Friday's jobs data showed weak private hiring, raising fears that the global economy could be heading for a double-dip recession and dragging the dollar to a near two-month low against a currency basket.
"The market last week was clearly concerned about a U.S. slowdown.. It was the first week in a long time we have seen the dollar react like that," Chris Turner, head of foreign exchange strategy at ING, said.
"There is a creeping fear that the strong dollar environment will start to break. That has not happened yet and it is likely to be steady this week."
By 1103 GMT, the euro eased 0.3 percent to $1.2524, with support seen close to Friday's low of around $1.2480. Last week, the euro gained 1.5 percent against the dollar after hitting a four-year low around $1.1875 in June.
Options with a strike price of $1.2500 expiring on Tuesday may also cap the downside, traders said.
The euro briefly rose about 10 pips versus the dollar to around $1.2545 after the euro zone Sentix investors sentiment index improved to -1.3 in July from -4.1 the previous month, beating expectations for a fall to -5.0.
A final reading of the euro zone Services Purchasing Managers' Index, which suggested private sector expansion may have peaked in the second quarter, had little impact on markets mainly looking ahead to a meeting of the European Central Bank on Thursday.
"We are really in a holding pattern," said Daragh Maher, deputy head of global foreign exchange research at Credit Agricole CIB. "The highlight for the euro is the ECB meeting on Thursday but... nothing is expected there. The sovereign space has calmed down."
The dollar index, which tracks the performance of the greenback versus a basket of six other major currencies, was up 0.2 percent from late U.S. trade on Friday at 84.604. On Friday, it fell to 84.132, its lowest since mid-May.
Short-term support was seen around 83.20, roughly a 38.2 percent retracement of the index's move to a high near 88.71 in June from a low of 74.17 in November.
Friday's U.S. monthly jobs report showed the economy shed 125,000 jobs in June, while private payrolls rose less than expected. Overall employment fell for the first time this year as thousands of temporary census jobs ended.
The data followed a raft of weak reports that suggested U.S. consumer spending, housing and factory activity were moderating.
The dollar edged down 0.06 percent against the yen to 87.79 yen, after hitting a seven-month low of 86.96 yen set last week.
Data from the Currency Futures Trading Commission showed net long yen positions jumped in the week to June 29.
One-month implied volatility hovered at 11.8/12.1, down from around 13 percent last week as the dollar slid to a 7-month low of 86.96 yen.
The Swiss franc held off recent record highs against the euro after the head of the Swiss National Bank said it was following currency movements closely. The euro was down 0.28 percent against the Swiss franc at 1.3313.
