I guess the endpoint is /fmerest/v3/transformations/submit/Samples/austinDownload.fmw

However I can not seem to call this in the two different ways:

1. With an e-mail address and notify the topics
2. Without an e-mail and not notify the topic

I have also found the v4 of the api - and that does only have method to submit jobs - but no possibility to start a DataDownload service and get a URL for the result.

Easiest would be to add an option to specify the service in the REST API, for instance "service"="jobsubmitter" or "servic"="datadownload"

Is there a reason you wanna do this with the REST api rather than the DataDownload Service?

I think by the way this is really important. I would love to be able to use the REST service to submit to a service.

You should just be able to include (or not include) the topics you want to post to in your post request. I guess it depends on your upstream logic, and how you are building the post request for your REST call.

 "NMDirectives": {
    "directives": "
         {
            "name": "email_to",
            "value": "example@example.com"
         }
      ],
    "successTopics": "
           "DATADOWNLOAD_ASYNC_JOB_SUCCESS"
        ],
     "failureTopics": p]
}

My idea of the REST service is that it should be the one stop shop for all interaction with FME Server. And the issue with the DataDownloadService is that it does not work as intended as described.

Have you resolved it?

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Nope ​

Ahh perhaps you're just looking for the DataDownload service?

https://docs.safe.com/fme/html/FME_Server_Documentation/ReferenceManual/service_datadownload.htm

It's not using the standard RESTAPI but the datadownload service. So different end points. The issue with the datadownload service is you cant sent your parameters as part of the POST body they must always be query parameters in the URL.