Because people still get to this post even though it is old (it is one of the first in google), here is the solution:
To receive the data for several entries of one resource, you are calling the URL without an ID, as example:
/api/products/
On this you can add several additional parameters to limit what you receive, with the 'filter' keyword. If you need a list of specific IDs, you can request:
/api/products/?filter[id]=[1|2|3|5|10]
And last you add what data you want to receive, with the 'display' keyword. You can use either 'full' or a list of fields to return, like this:
/api/products/?filter[id]=[1|2|5|10]&display=full
/api/products/?filter[id]=[1|2|3|5|10]&display=[id,name]
For a full list of capabilities using 'filter' and all available keywords, see: https://devdocs.prestashop.com/1.7/webservice/tutorials/advanced-use/additional-list-parameters/