public sealed class ReportProjectItem : ArcGIS.Desktop.Internal.Core.ProjectItem, ArcGIS.Desktop.Core.IMetadata, ArcGIS.Desktop.Core.IProjectItem, System.ComponentModel.INotifyPropertyChanged  

{
  var reportsInProject = Project.Current.GetItems<ReportProjectItem>();
  foreach (var reportItem in reportsInProject)
  {
    //Do Something with the report
  }
}

{
  ReportProjectItem reportProjItem = Project.Current.GetItems<ReportProjectItem>().FirstOrDefault(item => item.Name.Equals("Report Name"));
  //Note: Needs QueuedTask to run
  Report reportInProject = reportProjItem?.GetReport();
}

{
  //Open a report project item in a new view.
  //A report project item may exist but it may not be open in a view. 

  //Reference a report project item by name
  ReportProjectItem reportPrjItem = Project.Current.GetItems<ReportProjectItem>().FirstOrDefault(item => item.Name.Equals("MyReport"));

  //Get the report associated with the report project item
  //Note: Needs QueuedTask to run
  Report reportToOpen = reportPrjItem.GetReport();

  //Create the new pane
  IReportPane iNewReportPane = await ProApp.Panes.CreateReportPaneAsync(reportToOpen); //GUI thread
}

{
  //Note: Needs QueuedTask to run
  Report reportToActivate = Project.Current.GetItems<ReportProjectItem>().FirstOrDefault().GetReport();
  var reportPane = FrameworkApplication.Panes.FindReportPanes(report).Last();
  if (reportPane == null)
    return;
  //Activate the pane
  (reportPane as ArcGIS.Desktop.Framework.Contracts.Pane).Activate();
  //Get the "ReportView" associated with the Report Pane.
  ReportView reportViewFromPane = reportPane.ReportView;
}

{
  //Note: Call within QueuedTask.Run()
  //Reference a ReportProjectItem in a project by name
  ReportProjectItem reportItem = Project.Current.GetItems<ReportProjectItem>().FirstOrDefault(item => item.Name.Equals(reportName));
  if (reportItem != null)
    //Delete the report from the project
    Project.Current.RemoveItem(reportItem);
}