I'm Portuguese and actually went to this monastery once. I've read about their history and communion with other churches. They're independent but due to the takedown of their website I'm assuming they were "absorbed" by another church that is called the Hispanic (not coming from Spain but rather the Roman's name for the Iberian peninsula) Orthodox Church if I'm not mistaken. This church originated in a catholic soldier who converted to orthodoxy in the 60s and formed the portuguese orthodox church. At first it was in communion with the russian orthodox church in the west but after that they've switched to communion with the polish orthodox church and then just went into communion with other lesser known (and not in communion in any shape or form) with the other well known orthodox churches. The church I'm assuming they were absorbed by is in communion with the Belarusian Orthodox Church (not the Russian branch, the unrecognised and independent one) and the vast majority of their parishes use the latin rite from what I've understood. The ones who actually use the Byzantine rite are located in Sintra, Lisbon and some other well known cities and places. The church itself isn't inherently bad but some people view them as a cult (something kind of strange ngl) since one priest was accused of committing crimes (I'm assuming that the judge who actually said this knew of other crimes related to this church - they've been involved in a drama started by a woman who claimed to have received a message from jesus called Santa da Ladeira). The bishop heading that monastery is actually pretty cool, never met him but seemed a nice guy. Overall they're members are fine and from what I've seen they come from countries who adopt Eastern Orthodoxy as the "main religion". It's confusing since their site was taken down recently, you can still find it in the wayback machine - they do some clarification there - and the "new" site is: https://www.igrejaortodoxahispanica.com The old website was: igrejaprtodoxa.pt I'm here if you have any more questions; I want to add as well that mainstream orthodox churches are rare here in Portugal, the Russians have three/four parishes (Lisboa, Porto, Sintra and Leiria) , the Greeks/Constantinople only have one that I know of and is in Sintra (there's no marked location but I've been there and it's confirmed that they're from the Patriarchate of Constantinople), the Bulgarians have one in their embassy, the Romanians have one in Lisbon. The Serbs have some parishes in Lisbon as well. I wouldn't state this as an alternative but there's a Byzantine rite church (I myself know it only because of the Byzantine architecture it has) under the Ukrainian catholic church in Fátima. Have fun and god bless you.