I have seen many cases where people in love mention
I am sorry I love you. But it might be due to my poor English, I couldn't really understand what they would be referring to. Could you please suggest/tell what could be it?
It depends heavily on the punctuation, and the context.
means, "I love you, but, for some unstated reason, I'm sorry that I do."
On the other hand,
means I'm sorry about something, but I want to let you know that I love you.
Note that "sorry" has at least two possible meanings here. In English, "I'm sorry" can be roughly equivalent to "I apologize." Also, "sorry" can be used to express woe or regret.
So, absent more context (and punctuation, maybe), there's no way to know for sure what it means. But leading candidates would include: