Yes, both Asana and Timeneye offer a Free Trial.
Asana is designed for Large Enterprises, Medium Business and Small Business.
Timeneye is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Asana Starts at $6.92/user/month when monthly whereas for Timeneye Starts at $6/User/Month when Billed Yearly.
Some top alternatives to Asana includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Basecamp, Trello, Wrike, ProofHub, monday.com, Teamwork, ProjectManager.com, Microsoft Project, Quick Base and Height.
Some top alternatives to Timeneye includes Timely, TimeTracker App, Toggl Track, Hubstaff, Timesheets.com, TrackingTime, Clockify, Tick, TimeTrack and Timesheet.