so verbleiben, dass
to agree that
To agree on a particular course of action or outcome; to make an arrangement.
Wir sind so verblieben, dass ich die Dokumente bis morgen vorbereite.
We agreed that I would prepare the documents by tomorrow.

to remain / to agree
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to agree that
To agree on a particular course of action or outcome; to make an arrangement.
Wir sind so verblieben, dass ich die Dokumente bis morgen vorbereite.
We agreed that I would prepare the documents by tomorrow.

'Verbleiben' (to remain / to agree) is an inseparable verb. The prefix 'ver-' stays firmly attached to the stem 'bleiben' (to stay/remain) in all conjugated forms and sentence types.
Er verblieb nach dem Gespräch in seinem Büro.
He remained in his office after the conversation.
The perfect tense of 'verbleiben' (to remain / to agree) is always formed with the auxiliary verb 'sein' (to be), not with 'haben' (to have). The past participle is 'verblieben' (remained/left).
Wir sind nach dem Treffen so verblieben, dass wir uns nächste Woche wiedersehen.
After the meeting, we agreed that we would see each other again next week.
'Verbleiben' (to remain / to agree) is a word used in elevated or formal language, especially in written language. It is used less often in normal everyday conversation.
Ich verbleibe mit freundlichen Grüßen. (Standardformel in Briefen)
I remain, with kind regards. (standard formula in letters)
In the meaning of 'sich einigen' (to agree), 'verbleiben' is almost always used in the fixed structure 'so verbleiben, dass…' (to agree/arrange that...). It is followed by a subordinate clause.
Die Parteien sind so verblieben, dass die Verhandlungen nächste Woche fortgesetzt werden.
The parties agreed that the negotiations would be continued next week.
When referring to a remainder that is left over, 'verbleiben' is often used with 'es' (it) as the subject. Typical examples involve time or money.
Es verbleibt uns nicht mehr viel Zeit bis zur Abfahrt.
We do not have much time left before departure.
to stay / remain
'bleiben' and 'verbleiben' are similar, but they do not sound equally natural. 'bleiben' is the normal everyday word when someone stays in a place, a state remains the same, or something is left over. 'verbleiben' is more formal and often appears in letters, reports, or business conversations. It often means 'to be left over' or 'to remain in a place'. In the phrase 'so verbleiben, dass ...' (to agree that ...), it also means that people agree on something. Learners may confuse the words because of their similar form. In everyday language, 'bleiben' usually fits best; in official texts, 'verbleiben' may be more appropriate.

Nach der Zahlung verbleiben noch 200 Euro auf dem Konto.
After the payment, 200 euros still remain in the account.
Am Wochenende bleiben wir wegen des Wetters zu Hause.
At the weekend, we're staying at home because of the weather.