If you only require courier services once in a long while, then there is no need for you to really negotiate better delivery services contract because you would have no bargaining power.
However, if you require frequent and regular delivery services in Singapore, then you need to negotiate for a better contract with the courier company. (You can do this and have bargaining power if you have high volumes of deliveries needed per month).
First of all, you should know approximately how many deliveries you require per month and check out the courier companies’ pricing first (if listed on their website) before actually contacting them. This is so that you know the grounds from which you would begin to negotiate with the Singapore delivery services company.
Second of all, you should check if the courier company separates pricing for parcels versus documents. Many courier companies do this, so make sure to find out.
Third of all, you can either call them or email them. In my opinion, you should email them. This is because a company which does not even reply emails quickly in this day and age are probably backwards in terms of their operations as well and do not keep up with the times and you do not want to work with a delivery company like that. This may sound like over-generalization but it is true and you want to be safe rather than sorry.
Fourth of all, ask them for waivers on outskirt charges. One of the most common surcharges by courier companies in Singapore are outskirt charges. You would do great and reduce a lot of cost if you could possibly reduce or get the outskirt charges for your deliveries waived.
Next of all, another common surcharge would be weight. Although only E-commerce companies might need to negotiate this point, normal businesses which require delivery or courier services might also want to take note. Usually, courier companies charge excess weight surcharges if your documents or parcels exceed their maximum weight capacity for a usual delivery. Some companies charge high prices while others more reasonable. Either way, make sure to negotiate this point with the courier company.