During Clinton's presidency, for the majority of it, he had a Republican or divided congress and Senate. When they were working on a bill that he had an interest in (and that most likely would include nearly all of them) he was able to influence a lot of them to be more beneficial to the people Clinton was interested in helping by threatening a veto unless certain provisions were included.
Unless there is a 60 vote majority in the senate a veto cannot be overriden and there is always the filibuster.
If you don't understand this I cannot make it any more clear.
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[SIGPIC] Diesel loving autocrossing grandpa Architect. 08 Dodge 3/4 ton with Cummins & six speed; I have had about 35 benzes. I have a 39 Studebaker Coupe Express pickup in which I have had installed a 617 turbo and a five speed manual.

[SIGPIC]
..I also have a 427 Cobra replica with an aluminum chassis.