Symptoms

Current K2 blackpearl compatibility matrix indicates that current K2 releases (4.7, 4.6.11, 4.10) support SharePoint 2010 SP1 and SP2 but does not indicate whether latest CU updates released post-SP2 are tested or supported.
 

Diagnoses

You may find some information about post SP2 CU updates support in old version of K2 compatibility matrix which indicates that K2 4.6.11 release was tested with August 2015 CU. This is important information to be aware of as most likely you won't want running SharePoint 2010 SP2 which has been released in July 2013 without any updates applied.

Also keep in mind that K2 4.7 does not support SharePoint 2010 in terms of any new fixes or patches from K2 side, but you can still use your old processes built in older version of K2 and expect them to work in 4.7. Though you have to have clear understanding that any newly discovered bugs or issues related with SharePoint 2010 integration won't be fixed by K2. See the following KBs for details:

Third-party support with the K2 4.7 release
https://help.k2.com/news/4.7technologies

K2 4.7 and SharePoint Integration Options
https://help.k2.com/kb001765

 

Resolution

Latest supported/test version of SharePoint 2010 from K2 side is SharePoint 2010 SP2 with August 2015 CU for K2 4.6.11 release. Refer to K2 blackpearl 4.6 Compatibility Matrix (Archive) for details on that.