Yes Roma uses Open Table. Have been using it for a year. You down load the app. There are several restaurants on the island that use “Open Table”. Roma, Mr Chow. Jax, Palapa Grill and LaRosa to name a few. Sometime the app works while using a VPN, other times it doesn’t. You can use the app on WiFi or without. I now have T Mobile and there is no additional charge for anything so I use my phone as if I’m home - but sign into WiFi when available to save data. TTOL comes up as “not secure” so really not an issue App is super simple to use. Use it in the USA all the time and on island.
What you screen shot looks like just a “Google” search.
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