Yes, both Jira and TOPdesk offer a Free Trial.
Jira is designed for Large Enterprises, Medium Business and Small Business.
TOPdesk is designed for Individuals, Large Enterprises, Medium Business and Small Business.
The starting price of Jira begins at $6.25/User/Month when Billed Yearly, while pricing details for TOPdesk are unavailable.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.
Some top alternatives to TOPdesk includes Freshservice, ManageEngine ServiceDesk Plus, SolarWinds Service Desk, Jira Service Desk, Freshdesk, Teamwork Desk, HelpDesk, Desky, Salesforce Service Cloud, ReadyDesk, Milldesk and Help Desk Premier.