BlenderAn immersion blender works but will not get it as smooth.
Ingredients
For the squash:
1mediumbutternut squashabout 3 lbs, halved and seeded
2tablespoonsneutral oilsuch as vegetable or canola
1teaspoonkosher saltDiamond Crystal
For the soup:
2tablespoonscoconut oilor neutral oil
3tablespoonsThai red curry paste
3mediumshallotssliced
3clovesgarlicsliced
2tablespoonsfresh galangalsliced into coins
113.5-oz canfull-fat coconut milk
2cupsvegetable brothlow-sodium preferred
2stalkslemongrassbruised and cut into 3-inch lengths
4makrut lime leavesfresh or frozen
1½tablespoonstao jiaofermented soybean paste
1tablespoonpalm sugarchopped
2tablespoonsfresh lime juice
For serving:
½cupThai basil leaves
3scallionsthinly sliced
coconut milkfor swirling
Instructions
Heat the oven to 400°F. Rub the cut sides of the squash with the neutral oil and salt, place cut side down on a lined sheet pan, and roast 45 minutes, until a knife slides into the thickest part with no resistance.
Cool the squash until you can handle it, then scoop the flesh away from the skin. There is no need to peel it.
Heat the coconut oil in a wide heavy pot over medium. Add the curry paste and fry 3 to 4 minutes, pressing it against the pan, until the oil runs red and the paste smells cooked rather than sharp.
Add the shallots, garlic and galangal and fry 2 minutes, until fragrant.
Pour in the coconut milk and broth, add the lemongrass and makrut lime leaves, and simmer 10 minutes to infuse.
Fish out and discard the lemongrass, lime leaves and galangal coins.
Add the roasted squash and blend until smooth, working in batches with the blender lid vented and a towel over the top. Never fill past the maximum line.
Return the soup to the pot and stir in the tao jiao and palm sugar. Taste and add salt.
Take the pot off the heat and stir in the lime juice. Serve topped with Thai basil, scallions and a swirl of coconut milk.
Notes
Curry paste heat varies widely by brand. Thai Kitchen at 3 tablespoons is mild enough for kids; start at 2 tablespoons with Mae Ploy. Check the curry paste label for shrimp paste, since most commercial brands contain it.
Salt amounts are for Diamond Crystal kosher salt. Use about half as much Morton.
Add the lime off the heat. Sustained heat turns it bitter and flat.
Use fresh or frozen makrut lime leaves. Dried ones contribute almost nothing here.
Swap kabocha for the butternut for a fuller, drier soup. It is the squash Thai cooks actually use.
For a deeper version, skip the oil and crack the coconut cream instead. Spoon the thick cream off the top of an unshaken can, simmer it 5 to 8 minutes until clear oil pools and the cream turns grainy, then fry the paste in that. Use a brand without gums or emulsifiers, such as Aroy-D or Chaokoh, since stabilized brands will not split.
Store leftovers airtight in the fridge up to 4 days, or freeze up to 3 months.
Reheat gently over low heat, stirring, to keep the coconut milk from separating.