Learn Spanish (Latin America): Seguimos esperando que ellos hayan disfrutado su estadía. - We keep hoping that they have enjoyed their stay.

We use the subjunctive because esperando que expresses a hope or wish. We use the present perfect subjunctive specifically (hayan plus the past participle disfrutado) because the action of them enjoying the stay has already happened, but our hope about it is happening right now (seguimos esperando).

How does seguimos esperando translate to "we keep hoping"?

The verb seguir literally means "to follow" or "to continue", but when you pair it with a gerund (a verb ending in -ando or -iendo, like esperando), it translates to "to keep doing" an action. So seguimos esperando means "we keep hoping" or "we are still hoping".

Could esperando que also mean "waiting that" here?

The verb esperar can mean "to hope", "to wait", or "to expect". In Spanish, the sentence could technically mean "We keep waiting...", but logically, "waiting for them to have enjoyed" doesn't make much sense. Therefore, "hoping" is the translation that naturally fits this context.

I have seen the word estancia used for "a stay". Is estadía the same thing?