SSIS Package failing with "Failed to acquire connection" error

I finally resolved the problem and it was related to my MSDTC settings. While MSDTC had been enabled, I had to enable the following settings:

• Network DTC Access
• Allow Remote Client
• Allow Inbound/Outbound
• Enable TIP

When using a "foreach loop" Container in a SSIS package, we had this error after processing 3K+ files... By setting the connection property RetainSameConnection to TRUE, we were able to move more than 32K files with no further issues.