Can there be compromise between the left and right when it comes to potential gun control bills?

After the two mass shootings this weekend, there is a stronger than ever push to institute new gun control legislation - everything from red flag laws, universal background checks, assault weapons bans, to even confiscation. Although some of these ideas are more politically unfeasible than others, it definitely seems as if there is momentum in the direction of further gun control.

The question is, can there by compromise when it comes to gun control? There is the saying "A good compromise is when both parties are dissatisfied". Is that a good statement of fact about compromise solution? What sort of compromise legislation would have the possibility of passing both houses (and something you would support as well)?

EDIT: I want to thank everyone for the responses to this thread. It was a good read and well-behaved debate. However, I did find it interesting that there weren't many responses (from either side) that could answer the question at hand - compromise. People on the right made the argument that there can be no compromise because that is all they have done for the last 50 years. People on the left made the argument that there idea of compromise is "be happy we are only asking for half of what we really want".