Kazakhstan is where hundreds of thousands of Poles were deported by Josef Stalin's Soviet Union during World War II.
Grodzki granted state medals to children of the wartime deportees, who are now in their 80s, the Polish state news agency reported.
Earlier, local youngsters of Polish descent recited poems and sang songs about Poland, the Polish upper house said in a statement.
"We are touched by the fact that the young generation, which welcomed us here today, speaks and sings so beautifully in Polish," Grodzki said, inviting the youngsters to visit the land of their forefathers.
Addressing the gathering on Sunday, the Polish Senate Speaker said: "My thoughts are with those who, 85 years ago, got off the train here, in the middle of the barren steppe, and had to survive in these harsh conditions."
"Not only did they succeed in that, but they also managed to cultivate their Polish heritage, culture and language," Grodzki added.
"Rest assured, Poland will not forget about you," Grodzki also told the gathering.
Afterwards, the Senate delegation visited the homes of some of the oldest members of the Polish community and laid flowers at a local memorial to Polish victims of Soviet oppression.
At the meeting in Pervomayka, Grodzki also thanked the people of Kazakhstan for their hospitality, while also voicing gratitude to the country's authorities for letting the Polish diaspora nurture its language, culture and traditions, the PAP news agency reported.
"It's a very good foundation for bilateral relations," Grodzki said, as quoted by the Polish Senate's press office.
(pm/gs)
Source: PAP