You can purchase inbound liquidity. You pay a lightning invoice and someone opens a channel with you. 
The fees are always changing and differ for different LSPs however an example would be something like you might pay an invoice of 10k sats to a LSP and then they will open a 1million sat channel with you. The 10k data covers the on-chain fee plus a fee to the LSP.
At first all the liquidity will be on their side so you will only be able to recieve transactions through this channel. But once you have received you will be able to send back out through that channel.