WHERE col1,col2 IN (…) [SQL subquery using composite primary key]

sqlite> create table foo (a,b,c);
sqlite> create table bar (x,y);
sqlite> select * from foo where exists (select 1 from bar where foo.a = bar.x and foo.b = bar.y);

Replace the select 1 from bar with your select ... many tuples of a/b values ....

Or create a temporary table of your select ... many tuples of a/b values ... and use it in place of bar..