Exit the sub-object mode and apply again a "Reactor Cloth" modifier on it.
Go to "Vertex" Sub-Object level of the Reactor Cloth modifier. Select the vertices of topmost row. Go to the "Constraint" rollout of Reactor Cloth modifier. Click "Fix Vertices". You did the same thing in Step 2. Leave the sub-object level of Reactor modifier.
Our Basket has no animation now. Because the simulation was happaned when its pevious Reactor Cloth was in action. But after that when we got it desired shape we collapsed it into an Editable Mesh. However, we have still animation in the ball. Play the animation and note when the ball reaches just the top of the basket. It should be Frame No. 12. This is the frame where we want the simulation to be started.