PSBTs is the answer. You open new channel with your LN node, node gives destination address and amount, other party builds transaction that sends sats to that address and gives you PSBT. Very important that other party does not broadcast transaction to the network, just give you PSBT. Then you provide that PSBT to your node.

For CLN see fundchannel_start and fundchannel_complete.

For LND see Opening a channel by using a PSBT.