The paramahaṁsa stage is the topmost position in renounced life. In sannyāsa, the renounced order, there are four stages — kuṭīcaka, bahūdaka, parivrājakācārya and paramahaṁsa. According to the Vedic system, when one accepts the renounced order, he stays outside his village in a cottage, and his necessities, especially his food, are supplied from home. This is called the kuṭīcaka stage. When a sannyāsī advances further, he no longer accepts anything from home: instead, he collects his necessities, especially his food, from many places. This system is called mādhukarī, which literally means “the profession of the bumblebees.” As bumblebees collect honey from many flowers, a little from each, so a sannyāsī should beg from door to door but not accept very much food from any particular house; he should collect a little bit from every house. This is called the bahūdaka stage. When a sannyāsī is still more experienced, he travels all over the world to preach the glories of Lord Vāsudeva. He is then known as parivrājakācārya. The sannyāsī reaches the paramahaṁsa stage when he finishes his preaching work and sits down in one place, strictly for the sake of advancing in spiritual life. An actual paramahaṁsa is one who completely controls his senses and engages in the unalloyed service of the Lord. Therefore all three of these sons of Priyavrata, namely Kavi, Mahāvīra and Savana, were situated in the paramahaṁsa stage from the very beginning. Their senses could not disturb them, for their senses were completely engaged in serving the Lord. Therefore the three brothers are described in this verse as upaśama-śīlāḥ. Upaśama means “completely subdued.” Because they completely subdued their senses, they are understood to have been great sages and saints.

After subduing their senses, the three brothers concentrated their minds upon the lotus feet of Vāsudeva, Lord Kṛṣṇa. As stated in Bhagavad-gītā (7.19) , vāsudevaḥ sarvam iti. The lotus feet of Vāsudeva are everything. Lord Vāsudeva is the reservoir of all living entities. When this cosmic manifestation is dissolved, all living entities enter the supreme body of the Lord, Garbhodakaśāyī Viṣṇu, who merges within the body of Mahā-Viṣṇu. Both of these viṣṇu-tattvas are vāsudeva-tattvas, and therefore the great sages Kavi, Mahāvīra and Savana concentrated always upon the lotus feet of Lord Vāsudeva, Kṛṣṇa. In this way they could understand that the Supersoul within the heart is the Supreme Personality of Godhead, and they could recognize their identity with Him. The complete description of this realization is that simply by discharging the unalloyed form of devotional service, one can realize his self completely. The parama-bhakti-yoga mentioned in this verse means that a living entity, by dint of unalloyed devotional service, has no other interest than the service of the Lord, as described in Bhagavad-gītā ( vāsudevaḥ sarvam iti ). By parama-bhakti-yoga, by elevating oneself to the highest platform of loving service, one can automatically be relieved from the bodily concept of life and see the Supreme Personality of Godhead face to face. As confirmed in Brahma-saṁhitā:

premāñjana-cchurita-bhakti-vilocanena santaḥ sadaiva hṛdayeṣu vilokayanti yaṁ śyāmasundaram acintya-guṇa-svarūpaṁ govindam ādi-puruṣaṁ tam ahaṁ bhajāmi

An advanced devotee, who is known as a sat, or saint, can always see within his heart the Supreme Personality of Godhead, face to face. Kṛṣṇa, Śyāmasundara, expands Himself by His plenary portion, and thus a devotee can always see Him within his heart.