The increase had beat the average market forecast, with net profit more than doubling to 118 million euros ($172.5 million) from 53 million a year ago.
Scor shares rose as much as 7.5 percent to 18.39 euros, their highest level in about two weeks. The stock was up 5.2 percent at 17.98 euros in mid-morning trade.
"They were a very good set of results and the Converium acquisition is beginning to bear fruit," said Agilis Gestion fund manager Frederic Hamm. Agilis Gestion holds Scor shares.
Earlier this month, the world's largest reinsurer Swiss Re posted a lower-than-expected fall in third-quarter net profit while close rival Munich Re reported a 68 percent rise in its third-quarter net profit.
Scor has been in acquisition mode after recovering from heavy losses in its U.S. unit towards the start of the decade. The U.S. division was subsequently closed to new business.
The company says its takeover of Converium has made it the world's fifth-largest reinsurer, and the Converium deal followed Scor's acquisition of German rival Revios in 2006.
Scor reiterated it had a limited subprime exposure of 68 million euros, representing 0.4 percent of its total investments.
"We are confident that the 2008 renewals will confirm the ambitions that we have set for ourselves," Scor Chief Executive Denis Kessler said in a statement.
Based on latest prices, Scor shares have fallen by about 20 percent since the start of 2007, which partly reflects a capital increase earlier this year to fund its Converium acquisition.