The reason why the bank won't give you a mortgage for a property abroad is probably because the laws abroad do not guarantee them that they can repossess the property if you fail to pay your mortgage rates.
You could of course try to take a personal loan, but then the usual conditions for granting personal loans apply. The intention to buy a property abroad is neither a reason to grant it, nor a reason to not grant it. Yes, personal loan applications usually ask what you plan to do with the money. But unlike real estate loans, there is usually no legally binding obligation to actually spend the money on that. So a particularly smart plan is not an argument to grant it, because you could still trick the bank by wasting the money on something stupid instead.
So they will make the decision about whether or not to grant the loan solely on how credit-worthy they consider you based on your credit score and what assets you currently possess which they could get money from in case of a personal bankruptcy. And they will of course charge you the interest rate for personal loans, which is usually much higher than the interest rate for mortgages.