Yes, both Wrike and Asana offer a Free Trial.
Wrike is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Asana is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Wrike Starts at $0/user/month when monthly whereas for Asana Starts at $6.92/user/month when monthly.
Some top alternatives to Wrike includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Basecamp, Trello, TeamGantt, monday.com, Asana, Teamwork, ProjectManager.com, Microsoft Project and ProWorkflow.
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.