Hi Anish,
When it comes to the Private endpoint, the issue happens generally on this 2 places.
- DNS resolution - In order for the private endpoint communication to work, your Azure Key Vault FQDN to IP resolution needs to resolve to the private IP of the Private endpoint. You can check this by doing a "nslookup <FQDN of Keyvault>" from the laptop from which you are trying to access. Check if it is resolving to the Private IP. If not, you will need to fix this. You can fix that by adding a host file entry locally in your laptop for the temp fix or you can work with your On-Prem local IT team to add get this resolution happen.
- IP connectivity from On-Prem to Azure - You can check this by trying to connect to any one of the VM which is in the same VNET as that of Private Endpoint.
Regards,
Karthik Srinivas