My friend has made a cake.I want to talk something with him like:''Hey! I would like you to give me some!''
Ofcourse,it's just my opinion,because i think the Present Perfect Tense can stands with the Simple Present Tense in a sentence.You can ask other friends to know more about it
"I hope you left me some" is fine and perfectly natural. "I would like you to give me some" is correct grammatically, but sounds a bit too formal for this situation.