You can start a Blue Prism Process programmatically through CLI commands or by exposing the process as a web service and calling it that way.
Some references you'll want:
Command Line Interface
Go into Blue Prism and press F1 and then search for 'command line'
For a more complete list of commands but with less explanation, use the CLI command: automatec /help
Web Services
https://portal.blueprism.com/documents/standard?title=web+services&cate…
Example of a CLI command to run a process:
automatec /run ""Process Name"" /sso
automatec /run ""Process Name"" /resource /sso
automatec /dbconname ""Name of the BP Connection"" /run ""Process Name"" /user
The F1 Help in Blue Prism is good for these commands, but I always like to caution that it is missing a few commands and those extra ones are listed in the CLI /help command.
Dave Morris, 3Ci at Southern Company