Hello! you can replace your local driving license with Slovak one if you resident to Slovakia .
After 180 of issuing your card and in 90 days you can replace ,you need to take your local along with a paper stating that you have a driving license then legalize them from Slovakian embassy abroad or with Slovakian foreign ministry , translate them and take it to the police special for issuing license .
they should replace it with Slovakian one in two weeks and 650 euro and that according to the law.
However they might ask you to pass test , I am not sure if this according to the law but you know how some people behave.
I have the link which is written only in Slovak if someone want to translate to guide the rest ,would be nice.
Regards