CBCT

Not specifically an empathy training but more Tibetan meditation based.

From emory.edu.

"CBCT (Cognitively-Based Compassion Training) is a method for cultivating greater well-being through the use of reflective practices. Developed at Emory University in 2004 by Geshe Lobsang Tenzin Negi, PhD, CBCT is based on centuries-old techniques from the Indo-Tibetan tradition. Negi drew from the lojong tradition, a set of meditative practices designed to bring about ‘thought transformation,’ to create this contemporary and secular method. CBCT is independent from—and in many ways supportive of—any faith or belief system."