diff --git a/Project.toml b/Project.toml
index 1fe08b2..9f58b56 100644
--- a/Project.toml
+++ b/Project.toml
@@ -11,7 +11,7 @@ SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [compat]
 MATLAB = "0.7, 0.8"
-MathOptInterface = "0.9.7"
+MathOptInterface = "0.10.4"
 julia = "1"
 
 [extras]
diff --git a/src/MOI_wrapper.jl b/src/MOI_wrapper.jl
index ce7fb6d..8053e58 100644
--- a/src/MOI_wrapper.jl
+++ b/src/MOI_wrapper.jl
@@ -87,23 +87,32 @@ mutable struct Optimizer <: MOI.AbstractOptimizer
             Dict{String, Any}(), Dict{String, Any}(),
             nothing, NaN,
             false, Dict{Symbol, Any}())
+        if !isempty(kwargs)
+            @warn("""Passing optimizer attributes as keyword arguments to
+            SDPT3.Optimizer is deprecated. Use
+                MOI.set(model, MOI.RawOptimizerAttribute("key"), value)
+            or
+                JuMP.set_optimizer_attribute(model, "key", value)
+            instead.
+            """)
+        end
         for (key, value) in kwargs
-            MOI.set(optimizer, MOI.RawParameter(string(key)), value)
+            MOI.set(optimizer, MOI.RawOptimizerAttribute(string(key)), value)
         end
         return optimizer
     end
 end
 
-function MOI.supports(optimizer::Optimizer, param::MOI.RawParameter)
+function MOI.supports(optimizer::Optimizer, param::MOI.RawOptimizerAttribute)
     return param.name in ALLOWED_OPTIONS
 end
-function MOI.set(optimizer::Optimizer, param::MOI.RawParameter, value)
+function MOI.set(optimizer::Optimizer, param::MOI.RawOptimizerAttribute, value)
     if !MOI.supports(optimizer, param)
         throw(MOI.UnsupportedAttribute(param))
     end
     optimizer.options[Symbol(param.name)] = value
 end
-function MOI.get(optimizer::Optimizer, param::MOI.RawParameter)
+function MOI.get(optimizer::Optimizer, param::MOI.RawOptimizerAttribute)
     # TODO: This gives a poor error message if the name of the parameter is invalid.
     return optimizer.options[Symbol(param.name)]
 end
@@ -115,7 +124,7 @@ end
 MOI.get(optimizer::Optimizer, ::MOI.Silent) = optimizer.silent
 
 MOI.get(::Optimizer, ::MOI.SolverName) = "SDPT3"
-function MOI.get(optimizer::Optimizer, ::MOI.SolveTime)
+function MOI.get(optimizer::Optimizer, ::MOI.SolveTimeSec)
     return optimizer.solve_time
 end
 
@@ -203,10 +212,10 @@ function MOI.supports_constraint(
     return true
 end
 
-function MOI.copy_to(dest::Optimizer, src::MOI.ModelLike; kws...)
-    return MOIU.automatic_copy_to(dest, src; kws...)
+function MOI.copy_to(dest::Optimizer, src::MOI.ModelLike)
+    return MOIU.default_copy_to(dest, src)
 end
-MOIU.supports_default_copy_to(::Optimizer, copy_names::Bool) = !copy_names
+MOI.supports_incremental_interface(::Optimizer) = true
 
 # Variables
 function MOI.add_variable(optimizer::Optimizer)
@@ -297,7 +306,7 @@ function MOI.set(optimizer::Optimizer, ::MOI.ObjectiveFunction{MOI.ScalarAffineF
     end
     sign = sense_to_sign(optimizer.objective_sense)
     for term in func.terms
-        info = optimizer.variable_info[term.variable_index.value]
+        info = optimizer.variable_info[term.variable.value]
         if info.variable_type == FREE
             push!(optimizer.free_Cvar, info.index_in_cone)
             push!(optimizer.free_Cval, sign * term.coefficient)
@@ -332,7 +341,7 @@ function MOI.add_constraint(optimizer::Optimizer, func::MOI.ScalarAffineFunction
     push!(optimizer.b, MOI.constant(set))
     con = length(optimizer.b)
     for term in func.terms
-        info = optimizer.variable_info[term.variable_index.value]
+        info = optimizer.variable_info[term.variable.value]
         if info.variable_type == FREE
             push!(optimizer.free_Avar, info.index_in_cone)
             push!(optimizer.free_Acon, con)
@@ -515,7 +524,7 @@ function MOI.get(optimizer::Optimizer, ::MOI.TerminationStatus)
 end
 
 function MOI.get(optimizer::Optimizer, attr::MOI.PrimalStatus)
-    if attr.N > MOI.get(optimizer, MOI.ResultCount())
+    if attr.result_index > MOI.get(optimizer, MOI.ResultCount())
         return MOI.NO_SOLUTION
     end
     status = optimizer.status
@@ -530,7 +539,7 @@ function MOI.get(optimizer::Optimizer, attr::MOI.PrimalStatus)
 end
 
 function MOI.get(optimizer::Optimizer, attr::MOI.DualStatus)
-    if attr.N > MOI.get(optimizer, MOI.ResultCount())
+    if attr.result_index > MOI.get(optimizer, MOI.ResultCount())
         return MOI.NO_SOLUTION
     end
     status = optimizer.status
diff --git a/test/MOI_wrapper.jl b/test/MOI_wrapper.jl
index f1f579b..8b92b5d 100644
--- a/test/MOI_wrapper.jl
+++ b/test/MOI_wrapper.jl
@@ -2,7 +2,7 @@ using Test
 
 using MathOptInterface
 const MOI = MathOptInterface
-const MOIT = MOI.Test
+const MOIT = MOI.DeprecatedTest
 const MOIU = MOI.Utilities
 const MOIB = MOI.Bridges
 
@@ -14,22 +14,21 @@ MOI.set(OPTIMIZER, MOI.Silent(), true)
     @test MOI.get(OPTIMIZER, MOI.SolverName()) == "SDPT3"
 end
 
-@testset "supports_default_copy_to" begin
-    @test MOIU.supports_default_copy_to(OPTIMIZER, false)
-    @test !MOIU.supports_default_copy_to(OPTIMIZER, true)
+@testset "supports_incremental_interface" begin
+    @test MOI.supports_incremental_interface(OPTIMIZER)
 end
 
 # UniversalFallback is needed for starting values, even if they are ignored by SDPT3
 const CACHE = MOIU.UniversalFallback(MOIU.Model{Float64}())
 const CACHED = MOIU.CachingOptimizer(CACHE, OPTIMIZER)
 const BRIDGED = MOIB.full_bridge_optimizer(CACHED, Float64)
-const CONFIG = MOIT.TestConfig(atol=1e-4, rtol=1e-4)
+const CONFIG = MOIT.Config(atol=1e-4, rtol=1e-4)
 
 @testset "Options" begin
     optimizer = SDPT3.Optimizer(printlevel = 1)
-    @test MOI.get(optimizer, MOI.RawParameter("printlevel")) == 1
+    @test MOI.get(optimizer, MOI.RawOptimizerAttribute("printlevel")) == 1
 
-    param = MOI.RawParameter("bad_option")
+    param = MOI.RawOptimizerAttribute("bad_option")
     err = MOI.UnsupportedAttribute(param)
     @test_throws err SDPT3.Optimizer(bad_option = 1)
 end
@@ -75,11 +74,11 @@ end
 @testset "Continuous Conic" begin
     MOIT.contconictest(BRIDGED, CONFIG, [
         # `MOI.OTHER_ERROR`
-        "lin2f",
+        "lin2f", "geomean3v",
         # `MOI.NUMERICAL_ERROR`
         "lin4",
         # `ExponentialCone` and `PowerCone` not supported.
-        "exp", "dualexp", "pow", "dualpow", "logdet",
+        "exp", "dualexp", "pow", "dualpow", "logdet", "relentr",
         # `RootDetConeSquare` -> `RootDetConeTriangle` bridge missing.
         "rootdets"
     ])