Want to apply for residency in italy and applied as immigrant in UsA

Hi, I am from Philippines. I stayed and  work in  Italy for more than 4 years having a Permesso di soggiorno per lavoro.I also  want to apply to be
An italian resident too. But currently my daughter from
USA petitioned me meaning to be an immigrant in USA. My question is can i still go back in Italy and apply for resident even if i am petitioned in USA as immigrant too? I just want to have resident permit on italy too just in case even if i am in USA already i can still go back to italy whenever i want. Hope
Someone can help me. Thanks

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