You might want to focus on finishing your meld before your opponent does, for instance, if you are almost done with a run & notice that they areheart slots also attempting a similar meld. Success in rummy depends on your ability to modify your melding strategy in response to the game's flow. Making Strategic Decisions in Rummy. Choosing when to draw and discard is an important Rummy strategy that can have a big effect on the game's result.