Fiala is wanted in Edwards County, Texas, on four counts of sex crimes against children. He was arrested Sept. 3 in Lawrence and was being held in the Douglas County jail on $100,000 bond.
The Lawrence Journal-World reports that Fiala was removed from the priesthood in 2008 after the allegations in Texas surfaced.
Fiala had served as a priest in Shawnee and Holton, Kan., and also worked in the Diocese of Kansas City-St. Joseph, Mo., from 1998 to 2001.
No sexual abuse charges have been filed against Fiala in Kansas or Missouri.