Mr Brownback's letter comes after last month's killing of Srinivas Kuchibhotla, a 32-year-old engineer, in a shooting allegedly by navy veteran Adam Purinton in the state who yelled "terrorist" and "get out of my country" before opening fire. Another Indian Alok Madasani was injured.
This week, Indian ambassador to the US Navtej Sarna also reached out to the State Department to convey New Delhi's "deep concerns" on other suspected hate crimes as well - Harnish Patel was killed outside his Lancaster house in South Carolina and Deep Rai shot at in Kent, Washington - and underlined the need to protect the community.
"Acts of hate and intolerance have no place in Kansas... We find wisdom and peace in the Sanskrit mantra 'Satyameva Jayate' (Truth alone triumphs)," Mr Brownback told PM Modi in a letter, a reference to the words inscribed at India's national emblem.
Turning to her Facebook post where she recalled how Kansas was their "instant choice", Governor Brownback, also a Republican like President Donald Trump, said he was humbled by the remark and sought to reassure the Indian community that the state was a welcoming place that he hoped would help her in the difficult months ahead.
With inputs from PTI