I've been wondering about this! Does Spanish regularly form diminutives other than with the -it- infix? ("m'hijito" etc.) Latin forms them with -ill-, -cul-, or -ul-, and many such forms are obvious in Spanish (tomatillo / quesadilla etc.), but I've never known whether -ill- is still productive today or if those are relics from the past.
Yes, at least in Spain. The spanish wikipedia lists a bunch of the variants [0]. I personally use -ino/a, as it is common where I grew up, but my favorite way of saying "puppy" is "perrete".