European Central Bank officials in coming weeks will meet with bank executives to share partial results of how their institutions fared in "stress tests," according to people familiar with the matter, a process that analysts expect will yield positive news for most lenders.

"Most of the heavy lifting has been done; the process has played out for some time now," said Kinner Lakhani, a banking analyst at Citigroup. "A minority of banks may have to take additional measures."