Thanks to @AhmetB - Google and @whlee's answer I got it working. Basically it is enough adding an Authorization Bearer token to the request, which you can get from a special endpoint: https://cloud.google.com/run/docs/authenticating/service-to-service#nodejs
Then you just have to add the service account of the function to the IAM list of the Cloud Run container: <project_id>@appspot.gserviceaccount.com
The nodejs example is using the deprecated request library, so here is my version using axios:
const getOAuthToken = async (receivingServiceURL: string): Promise<string> => {
// Set up metadata server request
const metadataServerTokenURL = 'http://metadata/computeMetadata/v1/instance/service-accounts/default/identity?audience=';
const uri = metadataServerTokenURL + receivingServiceURL;
const options = {
headers: {
'Metadata-Flavor': 'Google'
}
};
return axios.get(uri, options)
.then((res) => res.data)
.catch((error) => Promise.reject(error));
}
Then you can just use the token in the actual request:
const url = `...`;
const token = await getOAuthToken(url);
axios.post(url, formData, {
headers: {
Authorization: `Bearer ${token}`,
}
}).then(...).catch(...);