First, a bit of history and level setting. Forgive me if this is all stuff you know.
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Bridges interconnect two (or more) Ethernets. Back when Ethernets were not all twisted-pair wiring and WiFi didn't yet exist, bridges interconnected multiple Ethernet networks, that were often different physical infrastructures: for example: coaxial cable (10Base2), fiber optics (10BaseF), and of course twisted-pair (10BaseT). A bridge is not a router, it just replicates any packets received on one media onto the other. This makes a bridge-interconnected series of Ethernets operate as if they are a single Ethernet. Bridges may include filtering capability.
These days, the most common bridge device available interconnects twisted-pair with Wifi. These are marketed as WiFi Access Points. They interconnect radio with wired Ethernet, and make the two Ethernets appear as if they are one.
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If your DSL router can be configured as a bridge, then yes, you can do this. If not, you will need to acquire a purpose-built WiFi Access Point that bridges to wired Ethernet.
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