Vaishnavism and Pure Land Buddhism

May I pay my respects to all of you!
I come from a Shin Buddhist background and desire to know more of your faith and what it entails. Please accept my humblest request purely for the sake of understanding.
In the Longer Sutra, Amida declares his 18th vow. It is as follows:

If, when I attain Buddhahood, sentient beings in the lands of the ten directions who sincerely and joyfully entrust themselves to me, desire to be born in my land, and recite my Name, even ten times, should not be born there, may I not attain perfect Enlightenment.

Is there something in the vedas that provides a guarantee to the devotee an equal proposition?
If so, what are the requirements on the devotee and how does one know that he meets them?

This interests me for what I have been reading in the Gita attracts me greatly. Maybe someone could kindly shed some light in sharing the text from the vedas.

In deepest gratitude,

I saw there was no comments and thought this is an interesting q


This is an interesting question, I wonder why there is no comments?

Hare Krishna