Yes, "kalbini" is correct. The reason is actually the "a" sound in kalp. It is not the regular "a". Loanwords, taken from other languages have different vowel sounds. Another example is gol (in football) which takes also front vowels: golü, golden sonra etc.

Caliptrix explains correctly the idea behind this as pronounciation. Indeed pronounciation takes priority over spelling. With originaly Turkish words pronounciation is the same as the spelling so there is no problem. But with foreign words you need to think about the pronounciation and not the spelling. Here is another example: Manchester´da, Manchester´a.

thanks guys, got the 1st one right, far out on second

if you only had one memory what would that be?

Eğer sana kalan sadece bir anı olsaydı bu hangisi olurdu?

you have explained words so well, understanding written work is very different to speaking unless you are within the enviroment,  i still practice  

 Thank you so much for taking the trouble to explain.

(One little note from me ´pronounciation´ is actually spelt ´PRONUNCIATION´    

Thanks for correcting. Some English words are more difficult for us than others. Another spelling mistake is kalbini. Of course it is not kalpini. I have to create a pattern in my mind to spell difficult English words correctly, like business, continuous, bicycle etc.

Everyone needs education