Try using BigInteger class, it works.
int Val=-32768;
String Hex=Integer.toHexString(Val);
//int FirstAttempt=Integer.parseInt(Hex,16); // Error "Invalid Int"
//int SecondAttempt=Integer.decode("0x"+Hex); // Error "Invalid Int"
BigInteger i = new BigInteger(Hex,16);
System.out.println(i.intValue());