The European Parliament has no saying in what laws it votes. The European Commission draft those, and the Parliament can at best rectify or reject them.
Very strange, the US usage seems to be like what we would use “to shelve” for (as in take it off the table and put it on the shelf to forget about), at least in Australia and the UK.
Sorry for the confusion, I'm not a native speaker (although I live in UK). I meant that the parliament can ask the commission to present a specific law for discussion.
Of course the parliament doesn't need to ask the commission to drop a law, it can simply vote against it.
So it doesn't have de-jure legislative powers, but de-facto it does.