When sending transfers between your own devices, you can specify the device that will receive the transfer, or you can choose "Me (Other Devices)" to send a notification in order to accept the transfer on any of your devices.
Receive transfers sent to "Me (Other Devices)"
If you sent the transfer to yourself by selecting "Me (Other Devices)," then you will need to manually accept the transfer as you would with transfers from other users.
Receive transfers sent to a specific device
If you choose a specific device as the receiving device, the transfer will automatically be downloaded when Infinit is open on that device. Only Infinit for Android does not offer this option yet. Choose your platform to see how this looks.