Thirty years ago, when I first started introducing therapy clients to meditation, there were no models to follow.  The closest things in psychology at the time were (1) biofeedback, in which an individual was monitored by a machine and tried to modify an autonomic nervous system function (such as brain waves), and (2) progressive relaxation, which was usually a prelude to desensitization from phobia.

In recent years there have been many advances in the integration of meditation into psychotherapy.

Dr. Herbert Benson of Harvard University promoted "The Relaxation Response" for dealing with chronic stress.

John Kabat-Zinn of the University of Massachusetts Medical School promoted Mindfulness Based Cognitive Therapy, using vipassana meditation, yoga, body scans, and mindfulness exercises in the management of chronic pain.

Marsha Linehan developed Dialectical Behavior Therapy, a system which integrates meditation and mindfulness exercises along with other principles to assist individuals with BPD (borderline personality disorder)

Stephen Hayes, a professor at the University of Nevada, promotes Acceptance and Commitment Therapy (ACT) which research has shown to be useful in the treatment of depression.

The book below, "The Happiness Trap," uses the principles of ACT. It is a very readable and useful.  I recommend it.