Rest API - Push data from web application to Vtiger CRM system

We require support to initially push contact information into a leads module on Vtiger CRM system. Both systems provide their API information online as detailed below. Once this is setup we will look at all the additional option available between the 2 system i.e ability to query data, pull and modify.

Push contact information from Lead Forensic system to Vtiger CRM
https://leadforensics-api.readme.io/
Lead Forensic have supplied Client ID and certificate key


Vtiger CRM
https://www.vtiger.com/docs/rest-api-for-vtiger
http://forge.vtiger.com/frs/download.php/1339/vtwsclib-1.5.zip
https://www.vtiger.com/docs/rest-api-for-vtiger