Hurley told fans, "Apologies to loyal followers for Twitter silence on recent events. Too raw & personal to share right now."
Warne, a pro cricket player, was more forthcoming, writing, "Some of the reports re EH & me r absolute rubbish. Yes we're sorting through some (private) issues. But we're not throwing the towel in yet."
Hurley sparked the breakup rumors when she stepped out without her engagement ring on Tuesday.
The couple has been engaged since October 2011.