Note: For the sake of clarity, the team leader in question within a Scrum Team shall be known as Bob.
Since a team lead or project leader is a position of authority, the role cannot be directly mapped to a position within a Scrum Team. Authoritarian roles do not exist within Scrum.
However, the skills required for leading teams can be mapped to tasks within a Scrum Team, provided Bob is willing to forego wearing a badge of honour and take on a role of service (I have been in a team where this has not happened and it just led to unnecessary conflict).
Communicate with the Product Owner (PO), which is customer: If this is a skill that Bob is good at, then it will be useful for the greater effort.
Help the Team to find solutions: All members of the Team are responsible for finding solutions, but Bob's experience might be able to help guide efforts in this regard.
Help the PO to define direction: Bob's experience may be useful in guiding this process and communicating the direction between the Team and the PO.
Help to deliver a complete solution: Once again, the whole Team is responsible for delivering a complete solution. Bob's experience can play a role here. There is also some 'paperwork' that needs to be done, such as cleaning up tickets and task clarification, in which Bob's experience may help.
Ultimately, it boils down to Bob's mindset. If he is willing to be a part of the team effort, there will be no shortage of tasks.