India outsourcing - Is it a threat to US companies?

Transparency: I am a US Army veteran, and have been in CyberSec 20+ years.
Here is what I ask: Is third party outsourcing of IT or IT Security safe with India contractors still?
Here is what I ask: India is openly working with Russia for military weapons and other trade arrangements. They have also partnered and trained with Russia in a military fashion. Is it reasonable to extrapololate that type of cooperation isn't limited only to military activities? If these companies have such a foothold in the US and other Western Country industries with IT credentials, is it hard to further posutlate that either Russian military or agents haven't infiltrated their ranks, or even openly joined them?
Further thoughts: How (or even if you can) would you vet these India contractors to ensure they aren't working with other national agents or security services?