The House Rules adopted H Res 368 to finish out the consideration of HJ Res 59 for today. The resolution states that the House insists on its latest amendment to the CR and requests a conference with the Senate to resolve the differences between the two latest versions of the bill.
The House is currently debating that resolution for an hour (ending no later than about 12:37 am EDT) at which time it will vote upon and almost certainly pass the resolution. That will effectively put an end to any efforts to prevent a federal government shut down this year.
It remains to be seen how long it would the conference committee to come to some acceptable common ground between the two factions and then send a revised HJ Res 59 back to both houses for a vote.