[NOTE: The following is one of many examples of people who are directly led to stream entry by the Buddha.]
…Then the Buddha taught Kūṭadanta step by step, with a talk on giving, ethical conduct, and heaven. He explained the drawbacks of sensual pleasures, so sordid and corrupt, and the benefit of renunciation. And when he knew that Kūṭadanta’s mind was ready, pliable, rid of hindrances, elated, and confident he explained the special teaching of the Buddhas: suffering, its origin, its cessation, and the path. Just as a clean cloth rid of stains would properly absorb dye, in that very seat the stainless, immaculate vision of the Dhamma arose in the brahmin Kūṭadanta: “Everything that has a beginning has an end.”
Then Kūṭadanta saw, attained, understood, and fathomed the Dhamma. He went beyond doubt, got rid of indecision, and became self-assured and independent of others regarding the Teacher’s instructions. He said to the Buddha, “Would Master Gotama together with the mendicant Saṅgha please accept tomorrow’s meal from me?” The Buddha consented in silence.…
Read this translation of Dīgha Nikāya 5 Kūṭadantasutta: With Kūṭadanta by Bhikkhu Sujato on SuttaCentral.net. Or listen on PaliAudio.com or Voice.SuttaCentral.net. Or explore the Pali on DigitalPaliReader.online.