diff --git a/src/gui/presence.rs b/src/gui/presence.rs
index ff0dd00..d951453 100644
--- a/src/gui/presence.rs
+++ b/src/gui/presence.rs
@@ -10,6 +10,7 @@
 //! message wakes the loop even while the window is hidden to the tray — the same
 //! trick the headless-child reader uses.
 
+use std::sync::Arc;
 use std::sync::mpsc::{self, Receiver};
 use std::thread;
 
@@ -232,32 +233,62 @@ fn run(
 /// [`SHARE_RETRY`] until all are delivered (or the task is aborted by a
 /// StartShare/StopShare). Emits one [`PresenceEvent::ShareDelivered`] per peer
 /// the moment its ACK comes back — that ACK *is* the delivery signal.
+///
+/// Each round fires all still-pending peers **concurrently**, so a single
+/// offline friend's ~10s connect timeout doesn't serialise the whole round
+/// (which it did when peers were tried one at a time).
 async fn run_share(
     ep: Endpoint,
     msg: ControlMsg,
     mut pending: Vec<EndpointId>,
     ui: tmpsc::Sender<PresenceEvent>,
 ) {
+    // The code is immutable for the campaign's life; share it across the
+    // per-peer tasks via an `Arc` rather than re-cloning the payload each round.
+    let msg = Arc::new(msg);
     while !pending.is_empty() {
-        let mut still = Vec::new();
+        let mut round = tokio::task::JoinSet::new();
         for peer in pending {
-            match control::send(&ep, peer, &msg).await {
-                Ok(()) => {
-                    tracing::info!(%peer, "presence: shared code delivered");
-                    if ui
-                        .send(PresenceEvent::ShareDelivered { peer })
-                        .await
-                        .is_err()
-                    {
-                        return; // UI gone — nothing left to report to
+            let ep = ep.clone();
+            let msg = Arc::clone(&msg);
+            round.spawn(async move {
+                match control::send(&ep, peer, &msg).await {
+                    Ok(()) => (peer, true),
+                    Err(e) => {
+                        tracing::debug!(%peer, "presence: share not yet delivered: {e:#}");
+                        (peer, false)
                     }
                 }
+            });
+        }
+
+        let mut still = Vec::new();
+        while let Some(joined) = round.join_next().await {
+            let (peer, delivered) = match joined {
+                Ok(outcome) => outcome,
+                // A send task panicking is unexpected; log and drop that peer
+                // from the campaign rather than abort the whole round. (A
+                // campaign-level abort drops this future entirely — we never
+                // observe that as a JoinError here.)
                 Err(e) => {
-                    tracing::debug!(%peer, "presence: share not yet delivered: {e:#}");
-                    still.push(peer);
+                    tracing::warn!("presence: share task failed: {e}");
+                    continue;
                 }
+            };
+            if delivered {
+                tracing::info!(%peer, "presence: shared code delivered");
+                if ui
+                    .send(PresenceEvent::ShareDelivered { peer })
+                    .await
+                    .is_err()
+                {
+                    return; // UI gone — nothing left to report to
+                }
+            } else {
+                still.push(peer);
             }
         }
+
         if still.is_empty() {
             break;
         }