You could try margin or futures trading. There, you short EUR/SDGSGD (borrow EUR and sell it on margin or open a short position on futures) and long USD/SDGSGD with the money you get from shorting EUR/SDGSGD.
Assuming USD strengthens against EUR and SDGSGD weakens, your long position profits would be more than your short position losses. On the other hand, if SDGSGD strengthens, your short position profits would be more than your long position losses.
Alternatively, you could just long USD/EUR or short EUR/USD and convert your USD or EUR profits to SDGSGD at the end.