“Rimay” is a Tibetan word meaning “non-sectarian”, “non-exclusive”, or “without boundaries.” The Rimay Tradition is not itself a separate or new school, but rather a way of viewing and relating to all schools, lineages, and traditions. You might say that Rimay is the big view that includes all other views; Rimay does not take for itself any exclusive position, for it respects and is open to all expressions of Dharma. In its ultimate or absolute level, Rimay recognizes that there is nothing that is not Dharma, in much the same way as the Vajrayana view sees all things as the manifestation of Buddha-Nature. It is absolute openness, an openness that is beyond every sense of limitation or being separate. It is an openness that has unlimited compassion for all beings equally. Rimay is the view of every Enlightened-being.....http://www.rimayrinpoche.com/index.php?option=com_content&view=article&id=47&Itemid=57&lang=en
Rimay means unbounded, all-embracing, unlimited, and also unbiased and impartial.
The Rimay movement came to prominence in the Nineteenth Century in eastern Tibet (Kham), at a point in Tibetan history when the religious climate had become highly partisan-- perhaps not unlike the global context of our modern world today. The aim of the Rimay renaissance was "a push towards a middle ground where the various views and styles of the different traditions were appreciated for their individual contributions rather than being refuted, marginalized, or banned.”... The Dalai Lama himself has even taught clerics of other religions and also received instruction from them, especially Christians and Jewish leaders.It is said that the 5th Dalai Lama "blurred the lines between traditions." The seminal Rimay master, Jamgon Kongtrul I, said: “One must see all the teachings as without contradiction, and consider all the scriptures as instructions."
"RIMAY TRADITION.... (Rime, Ris med) : "Jamgon Kongtrul The Great....(1813-1899) His background was Bonpo (his father was an illustrous lama of the Khyungpo, or Garuda clan..[Kongtrul: 1995..pg 15]) and both he and Jamyang Kyentse were particularly open to the Bon tradition. The most significant Bon teacher in the Rimay movement was Shardza Trashi Gyantsen (1859-1935)". [Samuel:1993..p.542]...."Since the second propagation on the Buddist doctrine in Tibet, in which teachings of non-Indian origin were dismissed, the ancient Nyingma teachings had been severely suppressed. Therefore the teachings of the Dzogchen system of the Nyingma [and Bonpo] traditions received the greater attention of the three great Rimay masters." (Kongtrul:1995..pg 28)..."The rimay movement began in Kham and leaned more to the shamanic and popular rather than to the centralized, clerical, heirarchical, and academic of the central Tibetan school. (Samuel: 1993..pg 543)..."
Rimé is a Tibetan word which means "no sides", "non-partisan" or "non-sectarian". In a religious context, the word ri-mé is usually used to refer to the "Eclectic Movement" between the Buddhist Nyingma, Sakya, and Kagyu traditions, along with the non-Buddhist Bön religion. It does not mean "non-conformist" or "non-committal"; nor does it mean forming a new School or system that is different from the existing ones. Buddha forbade his students even to criticise the teachings and teachers of other religions and cultures. notable Tibetan Lamas noted for their non-sectarian approach were Patrul Rinpoche and Orgyen Chokgyur Lingpa. Shabkar Tsodruk Rangdrol, Dudjom Lingpa and the Fifteenth Karmapa Khachab Dorje who was a student of Kongtrul.... A "new Bon" (Bon-gsar) movement originating in sDe-dge in the eighteenth century, emphasised the interpenetration of many Bon-po and Buddhist teachings. New Bon lamas were active in the Ris-med movement, and some new Bon works were included in the Ris-med compilations of texts. Shardza Tashi Gyaltsen (1859 - 1933) was a great Dzogchen master of the Tibetan Bon tradition who not only took Bon disciples but gathered disciples from all traditions of Tibetan Buddhism. According to tradition, he famously realized the rainbow body.