To pray is to discover God's oasis hidden in the desert of the soul. True prayer is the wellspring force of divine life flowing in the "transparent" soul of one whose trust is fully centered in God. This divine force, secret and strong, gently inspires all those who seek the truth; it will reunite them one day, beyond time and space, in the cosmic and eternal world. At the extremity of prayer words vanish, or rather the "silence-become-word" surpasses all that can be uttered. Prayer becomes the silence of Love, and this silence reveals the "I" in its deepest aspects; and, should words suddenly arise in prayer, we must regard them as fruits of love that send us back to silence.
Mindfulness is an ancient form of meditation in which one pays attention to the present moment and all that's unfolding in that moment, both within and around one. It's known also as conscious living because the person practicing it is forming an aware and intimate relationship with each moment.
When practicing mindful meditation we aren't striving to do anything, we aren't grasping, struggling, thinking, expecting, or wanting but simply letting whatever is there be there and paying attention to it in a non-judgmental way. We come to terms with reality as it is, bringing all our awareness to it, breathing with it, attending it.