The most recent min.io server release requires one additional thing in the configuration comparing to versions in the past years. Having min.io on one box and NGINX on another one requires setting up a reverse proxy, which is straightforward operation. You need to remember to add proper headers to pass hostname and schema to min.io box. This whole thing is described in the documentation.

proxy_set_header X-Real-IP $remote_addr;
proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_for;
proxy_set_header X-Forwarded-Proto $scheme;
proxy_set_header Host $http_host;

But… you are required to put the following into a min.io configuration file:

MINIO_SERVER_URL="https://your.url/"

This should be put in bold letters beause without this one you could upload artifacts into buckets, but will not be able to download them with share link beacuse of checksum error. This checksum depends on domain name. Default min.io installation offers a console and API on one port only in theory. If you go for console then you are redirected to some temporary port, applicable until next restart of the server. So API will work flawlessly on public domain, but a console in the default installation will not. Please keep that in mind.