(CNN) White House coronavirus task force officials are still weighing potential benchmarks that would lead to phased reopening of states but have yet to settle on specific targets, according to people familiar with the discussions.

In meetings of the task force over the weekend, discussions centered on how and when states could be advised to reopen certain businesses and allow larger gatherings. But officials haven't yet settled on a specific set of criteria and some have argued that blanket recommendations might not work for every state.

For example, rural states or states with older populations may need a different set of criteria than more densely populated ones. And states where the virus has already peaked may also see a different set of benchmarks.

Officials said decisions on those benchmarks were still pending as task force members debate their merits

As part of the discussions, officials have been closely poring through testing data from individual states to try and determine where more resources are needed. While President Donald Trump said last week that an ability to test every American isn't a prerequisite for any reopening announcement, administration officials say monitoring and surveillance are key to any plan.

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