Bourses built on a buoyant start to the day to post strong gains, giving up six days of losses.
Sentiment was boosted by strong service sector data from the US at 3pm London time.
The CAC climbed 82 to 3,731. The Dax has added 81 to 6,215 while Spain's IBEX rose 268 to10,651.
News that Moody's is considering another downgrade to Ireland's credit rating, due to increased uncertainty about the government's ability to preserve "financial strength", has had little impact so far. Moody's also praised Greece's efforts to sort out its finances, boosting Greek banks.
In France, and in fact all over Europe, much attention was focused on the plight of Jermome Kerviel, the former Societe Generale trader has been sentenced to three years in prison and ordered to pay back ?4.9bn (£4.2bn) for his role in a 2008 financial scandal that cost the bank billions of pounds.
In company news, travel firm TUI Travel went well after it allayed fears about full year trading by saying it is confident results will be in line with previous guidance.
Barclays Capital has upgraded Europe's stores to 'overweight' from 'market weight' as domestic demand may surprise on the upside suggests the broker.
But in other broker news, HSBC and Banco Santander have reduced their recommendations on German utility E.ON.
The eurozone composite PMI fell to 54.1 from 56.2 in August, but was slightly above an earlier estimate of 53.8. Any reading above 50 shows expansion.
However, European retail sales unexpectedly declined in August.