draw on, draw upon

1. PHRASAL VERB

If you draw on or draw upon something such as your skill or experience, you make use of it in order to do something.

• He drew on his experience as a yachtsman to make a documentary programme.
  

2. PHRASAL VERB

As a period of time draws on, it passes and the end of it gets closer.

• As the afternoon drew on we were joined by more of the regulars.  
• =  wear on   

... Cobuild

to use someone or something in some beneficial way; to extract from a resource, reserve, etc. 

• I may have to draw on your advice in order to complete this project. 
• If there is some way you can draw on me to your advantage, let me know. 
• By the end of the contest I had drawn upon all the energy I had.
  

.... McGrow-Hill Idioms

to get ideas or facts from something 

• The second half of the book draws on new discoveries in the field of microbiology.
  

.... Cambridge-Am-Idioms

1.  Approach, as in:

•  As evening draws on, we'll make our way back to the house. [First half of 1500s] 
  

2.  Put on a piece of clothing, as in:

• She drew on her gloves. [Early 1700s] 
  

3.  Also, draw upon.
     Make use of something or someone. For example:

• This dictionary draws on many different sources, or 
• The chairman was good at drawing upon the various members for their expertise. [Mid-1600s] 
  

... Am-Heritage-Idioms