Sales Navigator and CRM Automation

I use Linkedin Sales Navigator a lot for work. We also use Zoho as our CRM.

I want to know if I pay for an upgrade with Zoho to integrate it with SalesNav, can I:

1. Automatically put saved searches/lists in Sales Nav into my leads lists in Zoho
2. When I contact leads in Sales Nav can I get it to update in Zoho to show that they have been contacted? Possibly even show the message sent to them.

I basically want to automate my Linkedin SalesNav activities into my CRM so it updates automatically. This would save me a lot of time and create more transparency with me and my team.

Is this even possible with Zoho? and if not what CRM can do this automation?