Including services and manufacturing, the eurozone PMI composite output index was at 47.3, up from 46.5 in November.
The PMI services index for the 17-nation bloc fell to 53.7 from 54.2 while the PMI composite reading dipped to 53.3 from 53.6.
Its PMI composite index points to a small decline in national output in the second quarter, according to Markit, which assembles the indices.
While the PMI composite index in France and Spain reached three-month highs of 44.3 and 43.4 respectively, Italy slumped to a three-month low of 44.4 in November.
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The German services PMI was at 57.3, its highest level since August 2007, and its composite PMI was at 59.3, back at its April high, the strongest level since January 2007.
Evening things up, the European composite PMI for January beat expectations (47.5 and 48.3 manufacturing and services).
In the region's largest economy, Germany, the composite PMI fell to a six-month low of 48.8 from 50.6 in March.
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Its composite PMI figure for November was 49.2, a two-month high.
BBC: Eurozone recession to continue into 2013, survey suggests
Markit said the composite output PMI was at 47.7 in May, up from 46.9 in April.
Its Eurozone Composite Purchasing Managers' Index (PMI), which measures business activity, rose to 46.5 in November from 45.7 the month before.
BBC: Eurozone recession to continue into 2013, survey suggests
Its closely-watched composite purchasing managers' index (PMI), which tracks both the services and manufacturing sectors, also suggested that Germany's economy slowed to "near stagnation" last month, while France's recorded its biggest contraction for four years.
The composite purchasing-managers' index (PMI), which covers services as well as manufacturing, inched up in June but at 46.4 remained well below the 50 level that separates expansion from contraction.
May PMI manufacturing indices slipped in both Germany and France driving the Eurozone composite reading lower to 54.6 after 54.8 during April.
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