According to Zhang et al., Austroasiatic migrations from Southeast Asia into India took place after the Last Glacial Maximum, circa 10,000 years ago.
ɐkˈoːɹdɪŋ tə ʒˈæŋ ˈɛt ˈæl., ˌɔːstɹoʊsɪˈæɾɪk maɪɡɹˈeɪʃənz fɹʌm sˈaʊθiːst ˈeɪʒə ˌɪntʊ ˈɪndiə tˈʊk plˈeɪs ˈæftɚ ðə lˈæst ɡlˈeɪʃəl mˈæksɪməm, sˈɜːkə tˈɛn,zˈiəɹoʊzˈiəɹoʊ zˈiəɹoʊ jˈɪɹz ɐɡˈoʊ.